56674852416 has 1120 divisors, whose sum is σ = 226029146112. Its totient is φ = 13616087040.

The previous prime is 56674852349. The next prime is 56674852447. The reversal of 56674852416 is 61425847665.

56674852416 is a `hidden beast` number, since 5 + 6 + 67 + 48 + 524 + 16 = 666.

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

Its product of digits (9676800) is a multiple of the sum of its prime divisors (270).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 296726881 + ... + 296727071.

Almost surely, 2^56674852416 is an apocalyptic number.

56674852416 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 56674852416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113014573056).

56674852416 is an abundant number, since it is smaller than the sum of its proper divisors (169354293696).

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

56674852416 is a wasteful number, since it uses less digits than its factorization.

56674852416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 56674852416 in words is "fifty-six billion, six hundred seventy-four million, eight hundred fifty-two thousand, four hundred sixteen".