4627365120 has 216 divisors, whose sum is σ = 18297691776. Its totient is φ = 1057665024.

The previous prime is 4627365107. The next prime is 4627365161. The reversal of 4627365120 is 215637264.

4627365120 is a `hidden beast` number, since 4 + 627 + 3 + 6 + 5 + 1 + 20 = 666.

It is a super-2 number, since 2×4627365120² = 42825015907585228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51949 + ... + 109331.

It is an arithmetic number, because the mean of its divisors is an integer number (84711536).

Almost surely, 2^4627365120 is an apocalyptic number.

4627365120 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 4627365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9148845888).

4627365120 is an abundant number, since it is smaller than the sum of its proper divisors (13670326656).

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

4627365120 is a wasteful number, since it uses less digits than its factorization.

4627365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57417 (or 57400 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4627365120 is about 68024.7390292679. The cubic root of 4627365120 is about 1666.3948811931.

It can be divided in two parts, 462736 and 5120, that added together give a square (467856 = 684²).

The spelling of 4627365120 in words is "four billion, six hundred twenty-seven million, three hundred sixty-five thousand, one hundred twenty".