76240548864 has 440 divisors, whose sum is σ = 237779520000. Its totient is φ = 24305909760.

The previous prime is 76240548863. The next prime is 76240548929. The reversal of 76240548864 is 46884504267.

It is a happy number.

76240548864 is a `hidden beast` number, since 7 + 62 + 40 + 5 + 488 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 76240548864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76240548863) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 383118237 + ... + 383118435.

It is an arithmetic number, because the mean of its divisors is an integer number (540408000).

Almost surely, 2^76240548864 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 76240548864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118889760000).

76240548864 is an abundant number, since it is smaller than the sum of its proper divisors (161538971136).

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

76240548864 is a wasteful number, since it uses less digits than its factorization.

76240548864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 76240548864 in words is "seventy-six billion, two hundred forty million, five hundred forty-eight thousand, eight hundred sixty-four".