56677077664 has 96 divisors (see below), whose sum is σ = 117308580480. Its totient is φ = 26903872512.

The previous prime is 56677077661. The next prime is 56677077671. The reversal of 56677077664 is 46677077665.

It is a super-2 number, since 2×56677077664² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56677077661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92458222 + ... + 92458834.

It is an arithmetic number, because the mean of its divisors is an integer number (1221964380).

Almost surely, 2^56677077664 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 56677077664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58654290240).

56677077664 is an abundant number, since it is smaller than the sum of its proper divisors (60631502816).

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

56677077664 is a wasteful number, since it uses less digits than its factorization.

56677077664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 61.

Subtracting from 56677077664 its reverse (46677077665), we obtain a palindrome (9999999999).

The spelling of 56677077664 in words is "fifty-six billion, six hundred seventy-seven million, seventy-seven thousand, six hundred sixty-four".