7116464177856 has 1008 divisors, whose sum is σ = 24056167605120. Its totient is φ = 2061189504000.

The previous prime is 7116464177831. The next prime is 7116464177869. The reversal of 7116464177856 is 6587714646117.

It is a happy number.

7116464177856 is a `hidden beast` number, since 7 + 1 + 164 + 6 + 417 + 7 + 8 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7116464177793 and 7116464177802.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21499891611 + ... + 21499891941.

It is an arithmetic number, because the mean of its divisors is an integer number (23865245640).

Almost surely, 2^{7116464177856} 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 7116464177856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12028083802560).

7116464177856 is an abundant number, since it is smaller than the sum of its proper divisors (16939703427264).

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

7116464177856 is a wasteful number, since it uses less digits than its factorization.

7116464177856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 485 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The spelling of 7116464177856 in words is "seven trillion, one hundred sixteen billion, four hundred sixty-four million, one hundred seventy-seven thousand, eight hundred fifty-six".