56467673139504 has 480 divisors, whose sum is σ = 175198616570880. Its totient is φ = 15605720064000.

The previous prime is 56467673139487. The next prime is 56467673139533. The reversal of 56467673139504 is 40593137676465.

56467673139504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×56467673139504³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316289944 + ... + 316468424.

It is an arithmetic number, because the mean of its divisors is an integer number (364997117856).

Almost surely, 2^{56467673139504} 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 56467673139504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87599308285440).

56467673139504 is an abundant number, since it is smaller than the sum of its proper divisors (118730943431376).

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

56467673139504 is a wasteful number, since it uses less digits than its factorization.

56467673139504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178641 (or 178624 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 66.

The spelling of 56467673139504 in words is "fifty-six trillion, four hundred sixty-seven billion, six hundred seventy-three million, one hundred thirty-nine thousand, five hundred four".