4975072915680 has 1200 divisors, whose sum is σ = 20698821912384. Its totient is φ = 1125189273600.

The previous prime is 4975072915627. The next prime is 4975072915777. The reversal of 4975072915680 is 865192705794.

4975072915680 is a `hidden beast` number, since 4 + 97 + 507 + 29 + 15 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 199 ways as a sum of consecutive naturals, for example, 3142812169 + ... + 3142813751.

Almost surely, 2^{4975072915680} is an apocalyptic number.

4975072915680 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 4975072915680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10349410956192).

4975072915680 is an abundant number, since it is smaller than the sum of its proper divisors (15723748996704).

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

4975072915680 is a wasteful number, since it uses less digits than its factorization.

4975072915680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 4975072915680 in words is "four trillion, nine hundred seventy-five billion, seventy-two million, nine hundred fifteen thousand, six hundred eighty".