56467635840 has 1536 divisors, whose sum is σ = 264525004800. Its totient is φ = 11048140800.

The previous prime is 56467635839. The next prime is 56467635841. The reversal of 56467635840 is 4853676465.

56467635840 is a `hidden beast` number, since 56 + 4 + 6 + 7 + 6 + 3 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56467635839) and next prime (56467635841).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56467635841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1526152302 + ... + 1526152338.

It is an arithmetic number, because the mean of its divisors is an integer number (172216800).

Almost surely, 2^56467635840 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 56467635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132262502400).

56467635840 is an abundant number, since it is smaller than the sum of its proper divisors (208057368960).

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

56467635840 is a wasteful number, since it uses less digits than its factorization.

56467635840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 56467635840 in words is "fifty-six billion, four hundred sixty-seven million, six hundred thirty-five thousand, eight hundred forty".