4760572677120 has 352 divisors, whose sum is σ = 18219623835840. Its totient is φ = 1171832832000.

The previous prime is 4760572677071. The next prime is 4760572677137. The reversal of 4760572677120 is 217762750674.

4760572677120 is a `hidden beast` number, since 4 + 7 + 6 + 0 + 572 + 67 + 7 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472620 + ... + 3121620.

Almost surely, 2^{4760572677120} is an apocalyptic number.

4760572677120 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 4760572677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9109811917920).

4760572677120 is an abundant number, since it is smaller than the sum of its proper divisors (13459051158720).

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

4760572677120 is a wasteful number, since it uses less digits than its factorization.

4760572677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649048 (or 2649024 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 4760572677120 in words is "four trillion, seven hundred sixty billion, five hundred seventy-two million, six hundred seventy-seven thousand, one hundred twenty".