3716624968056 has 2304 divisors, whose sum is σ = 15144114585600. Its totient is φ = 806551603200.

The previous prime is 3716624968027. The next prime is 3716624968061. The reversal of 3716624968056 is 6508694266173.

3716624968056 is a `hidden beast` number, since 3 + 7 + 1 + 6 + 62 + 496 + 80 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3716624967984 and 3716624968002.

It is a congruent number.

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 29264763465 + ... + 29264763591.

It is an arithmetic number, because the mean of its divisors is an integer number (6572966400).

It is a 1-persistent number, because it is pandigital, but 2⋅3716624968056 = 7433249936112 is not.

Almost surely, 2^{3716624968056} is an apocalyptic number.

3716624968056 is a gapful number since it is divisible by the number (36) 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 3716624968056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7572057292800).

3716624968056 is an abundant number, since it is smaller than the sum of its proper divisors (11427489617544).

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

3716624968056 is a wasteful number, since it uses less digits than its factorization.

3716624968056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 3716624968056 in words is "three trillion, seven hundred sixteen billion, six hundred twenty-four million, nine hundred sixty-eight thousand, fifty-six".