76040448952320 has 1248 divisors, whose sum is σ = 278516414849400. Its totient is φ = 19921911939072.

The previous prime is 76040448952159. The next prime is 76040448952331. The reversal of 76040448952320 is 2325984404067.

It is a happy number.

76040448952320 is a `hidden beast` number, since 7 + 604 + 0 + 4 + 4 + 8 + 9 + 5 + 2 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41755582964736 + 34284865987584 = 6461856^2 + 5855328^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 103 ways as a sum of consecutive naturals, for example, 484334069682 + ... + 484334069838.

Almost surely, 2^{76040448952320} 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 76040448952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139258207424700).

76040448952320 is an abundant number, since it is smaller than the sum of its proper divisors (202475965897080).

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

76040448952320 is an frugal number, since it uses more digits than its factorization.

76040448952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 76040448952320 in words is "seventy-six trillion, forty billion, four hundred forty-eight million, nine hundred fifty-two thousand, three hundred twenty".