76620742122006 has 80 divisors (see below), whose sum is σ = 173626149866400. Its totient is φ = 25251843906432.

The previous prime is 76620742121983. The next prime is 76620742122011. The reversal of 76620742122006 is 60022124702667.

It is a happy number.

76620742122006 is a `hidden beast` number, since 7 + 6 + 620 + 7 + 4 + 2 + 12 + 2 + 0 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 270527575 + ... + 270810653.

It is an arithmetic number, because the mean of its divisors is an integer number (2170326873330).

Almost surely, 2^{76620742122006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76620742122006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86813074933200).

76620742122006 is an abundant number, since it is smaller than the sum of its proper divisors (97005407744394).

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

76620742122006 is a wasteful number, since it uses less digits than its factorization.

76620742122006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301955 (or 301946 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 76620742122006 in words is "seventy-six trillion, six hundred twenty billion, seven hundred forty-two million, one hundred twenty-two thousand, six".