56672460000 has 1260 divisors, whose sum is σ = 236196836568. Its totient is φ = 13343616000.

The previous prime is 56672459951. The next prime is 56672460049. The reversal of 56672460000 is 6427665.

It is an interprime number because it is at equal distance from previous prime (56672459951) and next prime (56672460049).

It is a super-3 number, since 3×56672460000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 209 ways as a sum of consecutive naturals, for example, 2464019989 + ... + 2464020011.

Almost surely, 2^56672460000 is an apocalyptic number.

56672460000 is a gapful number since it is divisible by the number (50) 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 56672460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118098418284).

56672460000 is an abundant number, since it is smaller than the sum of its proper divisors (179524376568).

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

56672460000 is an equidigital number, since it uses as much as digits as its factorization.

56672460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 56672460000 its reverse (6427665), we get a palindrome (56678887665).

The spelling of 56672460000 in words is "fifty-six billion, six hundred seventy-two million, four hundred sixty thousand".