4764402720 has 384 divisors, whose sum is σ = 20791572480. Its totient is φ = 989936640.

The previous prime is 4764402707. The next prime is 4764402733. The reversal of 4764402720 is 272044674.

It is a happy number.

4764402720 is a `hidden beast` number, since 4 + 7 + 644 + 0 + 2 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4764402707) and next prime (4764402733).

It is a super-4 number, since 4×4764402720⁴ (a number of 40 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325479 + ... + 339801.

It is an arithmetic number, because the mean of its divisors is an integer number (54144720).

Almost surely, 2^4764402720 is an apocalyptic number.

4764402720 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 4764402720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10395786240).

4764402720 is an abundant number, since it is smaller than the sum of its proper divisors (16027169760).

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

4764402720 is a wasteful number, since it uses less digits than its factorization.

4764402720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14365 (or 14351 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 4764402720 is about 69024.6529871755. The cubic root of 4764402720 is about 1682.6849922476.

The spelling of 4764402720 in words is "four billion, seven hundred sixty-four million, four hundred two thousand, seven hundred twenty".