4756008960 has 520 divisors, whose sum is σ = 17697278016. Its totient is φ = 1220935680.

The previous prime is 4756008953. The next prime is 4756008973. The reversal of 4756008960 is 698006574.

4756008960 is a `hidden beast` number, since 4 + 7 + 560 + 0 + 89 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77967330 + ... + 77967390.

Almost surely, 2^4756008960 is an apocalyptic number.

4756008960 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 4756008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848639008).

4756008960 is an abundant number, since it is smaller than the sum of its proper divisors (12941269056).

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

4756008960 is an equidigital number, since it uses as much as digits as its factorization.

4756008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 118 counting only the distinct ones).

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

The square root of 4756008960 is about 68963.8235598926. The cubic root of 4756008960 is about 1681.6962459583.

The spelling of 4756008960 in words is "four billion, seven hundred fifty-six million, eight thousand, nine hundred sixty".