7861118976 has 144 divisors (see below), whose sum is σ = 23900385600. Its totient is φ = 2482348032.

The previous prime is 7861118939. The next prime is 7861118977. The reversal of 7861118976 is 6798111687.

7861118976 is a `hidden beast` number, since 7 + 8 + 611 + 18 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (7861118977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338985 + ... + 361431.

It is an arithmetic number, because the mean of its divisors is an integer number (165974900).

Almost surely, 2^7861118976 is an apocalyptic number.

7861118976 is a gapful number since it is divisible by the number (76) 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 7861118976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11950192800).

7861118976 is an abundant number, since it is smaller than the sum of its proper divisors (16039266624).

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

7861118976 is a wasteful number, since it uses less digits than its factorization.

7861118976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22494 (or 22471 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 54.

The square root of 7861118976 is about 88662.9515412159. The cubic root of 7861118976 is about 1988.3589558390.

The spelling of 7861118976 in words is "seven billion, eight hundred sixty-one million, one hundred eighteen thousand, nine hundred seventy-six".