76684610615040 has 2016 divisors, whose sum is σ = 291854629785600. Its totient is φ = 19268475125760.

The previous prime is 76684610615033. The next prime is 76684610615131. The reversal of 76684610615040 is 4051601648667.

76684610615040 is a `hidden beast` number, since 7 + 6 + 6 + 8 + 4 + 6 + 10 + 615 + 0 + 4 + 0 = 666.

76684610615040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 320856111241 + ... + 320856111479.

It is an arithmetic number, because the mean of its divisors is an integer number (144769161600).

Almost surely, 2^{76684610615040} 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 76684610615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145927314892800).

76684610615040 is an abundant number, since it is smaller than the sum of its proper divisors (215170019170560).

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

76684610615040 is a wasteful number, since it uses less digits than its factorization.

76684610615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 76684610615040 in words is "seventy-six trillion, six hundred eighty-four billion, six hundred ten million, six hundred fifteen thousand, forty".