76248148704 has 384 divisors, whose sum is σ = 253885943808. Its totient is φ = 19499581440.

The previous prime is 76248148679. The next prime is 76248148709. The reversal of 76248148704 is 40784184267.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76248148709) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 69127417 + ... + 69128519.

It is an arithmetic number, because the mean of its divisors is an integer number (661161312).

Almost surely, 2^76248148704 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 76248148704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126942971904).

76248148704 is an abundant number, since it is smaller than the sum of its proper divisors (177637795104).

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

76248148704 is a wasteful number, since it uses less digits than its factorization.

76248148704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 51.

The spelling of 76248148704 in words is "seventy-six billion, two hundred forty-eight million, one hundred forty-eight thousand, seven hundred four".