4368517920 has 672 divisors, whose sum is σ = 17306194752. Its totient is φ = 1034643456.

The previous prime is 4368517913. The next prime is 4368517927. The reversal of 4368517920 is 297158634.

4368517920 is a `hidden beast` number, since 43 + 6 + 8 + 517 + 92 + 0 = 666.

4368517920 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4368517913) and next prime (4368517927).

It is a super-2 number, since 2×4368517920² = 38167897634722252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

4368517920 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4368517927) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 65201727 + ... + 65201793.

It is an arithmetic number, because the mean of its divisors is an integer number (25753266).

It is a 1-persistent number, because it is pandigital, but 2⋅4368517920 = 8737035840 is not.

Almost surely, 2^4368517920 is an apocalyptic number.

4368517920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4368517920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8653097376).

4368517920 is an abundant number, since it is smaller than the sum of its proper divisors (12937676832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4368517920 is a wasteful number, since it uses less digits than its factorization.

4368517920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4368517920 is about 66094.7646943387. The cubic root of 4368517920 is about 1634.7250105657.

The spelling of 4368517920 in words is "four billion, three hundred sixty-eight million, five hundred seventeen thousand, nine hundred twenty".