76199548320 has 576 divisors, whose sum is σ = 313207824384. Its totient is φ = 16492861440.

The previous prime is 76199548291. The next prime is 76199548351. The reversal of 76199548320 is 2384599167.

76199548320 is a `hidden beast` number, since 7 + 6 + 1 + 99 + 548 + 3 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23877925 + ... + 23881115.

It is an arithmetic number, because the mean of its divisors is an integer number (543763584).

It is a 1-persistent number, because it is pandigital, but 2⋅76199548320 = 152399096640 is not.

Almost surely, 2^76199548320 is an apocalyptic number.

76199548320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76199548320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156603912192).

76199548320 is an abundant number, since it is smaller than the sum of its proper divisors (237008276064).

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

76199548320 is a wasteful number, since it uses less digits than its factorization.

76199548320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 76199548320 in words is "seventy-six billion, one hundred ninety-nine million, five hundred forty-eight thousand, three hundred twenty".