4756893474816 has 1568 divisors, whose sum is σ = 17637303450240. Its totient is φ = 1252106698752.

The previous prime is 4756893474811. The next prime is 4756893474871. The reversal of 4756893474816 is 6184743986574.

4756893474816 is a `hidden beast` number, since 4 + 7 + 5 + 68 + 93 + 474 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (4756893474811) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42096402376 + ... + 42096402488.

Almost surely, 2^{4756893474816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4756893474816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8818651725120).

4756893474816 is an abundant number, since it is smaller than the sum of its proper divisors (12880409975424).

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

4756893474816 is an equidigital number, since it uses as much as digits as its factorization.

4756893474816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 197 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 4756893474816 in words is "four trillion, seven hundred fifty-six billion, eight hundred ninety-three million, four hundred seventy-four thousand, eight hundred sixteen".