56767633440 has 192 divisors, whose sum is σ = 204883064064. Its totient is φ = 12942471168.

The previous prime is 56767633423. The next prime is 56767633451. The reversal of 56767633440 is 4433676765.

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 31 ways as a sum of consecutive naturals, for example, 1312642 + ... + 1355198.

It is an arithmetic number, because the mean of its divisors is an integer number (1067099292).

Almost surely, 2^56767633440 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 56767633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102441532032).

56767633440 is an abundant number, since it is smaller than the sum of its proper divisors (148115430624).

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

56767633440 is a wasteful number, since it uses less digits than its factorization.

56767633440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42979 (or 42971 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 51.

The spelling of 56767633440 in words is "fifty-six billion, seven hundred sixty-seven million, six hundred thirty-three thousand, four hundred forty".