76263047424 has 360 divisors, whose sum is σ = 242891953920. Its totient is φ = 23746867200.

The previous prime is 76263047383. The next prime is 76263047429. The reversal of 76263047424 is 42474036267.

76263047424 is a `hidden beast` number, since 7 + 6 + 2 + 630 + 4 + 7 + 4 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 76263047424.

It is not an unprimeable number, because it can be changed into a prime (76263047429) 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, 18639619 + ... + 18643709.

It is an arithmetic number, because the mean of its divisors is an integer number (674699872).

Almost surely, 2^76263047424 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 76263047424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121445976960).

76263047424 is an abundant number, since it is smaller than the sum of its proper divisors (166628906496).

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

76263047424 is a wasteful number, since it uses less digits than its factorization.

76263047424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 76263047424 in words is "seventy-six billion, two hundred sixty-three million, forty-seven thousand, four hundred twenty-four".