76148121600 has 672 divisors, whose sum is σ = 286684151040. Its totient is φ = 19806289920.

The previous prime is 76148121563. The next prime is 76148121649. The reversal of 76148121600 is 612184167.

It is a happy number.

76148121600 is a `hidden beast` number, since 7 + 6 + 1 + 48 + 1 + 2 + 1 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259891054 + ... + 259891346.

It is an arithmetic number, because the mean of its divisors is an integer number (426613320).

Almost surely, 2^76148121600 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 76148121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143342075520).

76148121600 is an abundant number, since it is smaller than the sum of its proper divisors (210536029440).

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

76148121600 is a wasteful number, since it uses less digits than its factorization.

76148121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 76148121600 in words is "seventy-six billion, one hundred forty-eight million, one hundred twenty-one thousand, six hundred".