76054671360 has 780 divisors, whose sum is σ = 290007007488. Its totient is φ = 19062521856.

The previous prime is 76054671353. The next prime is 76054671373. The reversal of 76054671360 is 6317645067.

76054671360 is a `hidden beast` number, since 7 + 6 + 0 + 546 + 71 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 598855617 + ... + 598855743.

Almost surely, 2^76054671360 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 76054671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145003503744).

76054671360 is an abundant number, since it is smaller than the sum of its proper divisors (213952336128).

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

76054671360 is a wasteful number, since it uses less digits than its factorization.

76054671360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 76054671360 in words is "seventy-six billion, fifty-four million, six hundred seventy-one thousand, three hundred sixty".