76300164864 has 864 divisors, whose sum is σ = 301487187456. Its totient is φ = 18632540160.

The previous prime is 76300164823. The next prime is 76300164893. The reversal of 76300164864 is 46846100367.

It is a happy number.

76300164864 is a `hidden beast` number, since 7 + 630 + 0 + 1 + 6 + 4 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81429804 + ... + 81430740.

It is an arithmetic number, because the mean of its divisors is an integer number (348943504).

Almost surely, 2^76300164864 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 76300164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150743593728).

76300164864 is an abundant number, since it is smaller than the sum of its proper divisors (225187022592).

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

76300164864 is a wasteful number, since it uses less digits than its factorization.

76300164864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 76300164864 in words is "seventy-six billion, three hundred million, one hundred sixty-four thousand, eight hundred sixty-four".