76064016600 has 768 divisors, whose sum is σ = 310480128000. Its totient is φ = 16873574400.

The previous prime is 76064016593. The next prime is 76064016607. The reversal of 76064016600 is 661046067.

76064016600 is a `hidden beast` number, since 7 + 6 + 0 + 6 + 40 + 1 + 6 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (76064016593) and next prime (76064016607).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76064016607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105791041 + ... + 105791759.

It is an arithmetic number, because the mean of its divisors is an integer number (404271000).

Almost surely, 2^76064016600 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 76064016600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155240064000).

76064016600 is an abundant number, since it is smaller than the sum of its proper divisors (234416111400).

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

76064016600 is a wasteful number, since it uses less digits than its factorization.

76064016600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 76064016600 in words is "seventy-six billion, sixty-four million, sixteen thousand, six hundred".