7676115106000 has 320 divisors, whose sum is σ = 20940991119360. Its totient is φ = 2697314880000.

The previous prime is 7676115105983. The next prime is 7676115106069. The reversal of 7676115106000 is 6015116767.

It is a super-2 number, since 2×7676115106000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 81639015 + ... + 81732985.

It is an arithmetic number, because the mean of its divisors is an integer number (65440597248).

Almost surely, 2^{7676115106000} 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 7676115106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10470495559680).

7676115106000 is an abundant number, since it is smaller than the sum of its proper divisors (13264876013360).

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

7676115106000 is a wasteful number, since it uses less digits than its factorization.

7676115106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94131 (or 94115 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 7676115106000 in words is "seven trillion, six hundred seventy-six billion, one hundred fifteen million, one hundred six thousand".