56677997376 has 1344 divisors, whose sum is σ = 236614533120. Its totient is φ = 13063680000.

The previous prime is 56677997351. The next prime is 56677997377. The reversal of 56677997376 is 67379977665.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56677997377) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 375350901 + ... + 375351051.

It is an arithmetic number, because the mean of its divisors is an integer number (176052480).

Almost surely, 2^56677997376 is an apocalyptic number.

56677997376 is a gapful number since it is divisible by the number (56) 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 56677997376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118307266560).

56677997376 is an abundant number, since it is smaller than the sum of its proper divisors (179936535744).

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

56677997376 is a wasteful number, since it uses less digits than its factorization.

56677997376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 218 counting only the distinct ones).

The product of its digits is 630118440, while the sum is 72.

The spelling of 56677997376 in words is "fifty-six billion, six hundred seventy-seven million, nine hundred ninety-seven thousand, three hundred seventy-six".