76414938264 has 576 divisors, whose sum is σ = 261739576800. Its totient is φ = 20017041408.

The previous prime is 76414938263. The next prime is 76414938269. The reversal of 76414938264 is 46283941467.

76414938264 is a `hidden beast` number, since 7 + 6 + 414 + 93 + 82 + 64 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (6967296) is a multiple of the sum of its prime divisors (378).

It is a self number, because there is not a number n which added to its sum of digits gives 76414938264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76414938263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 486719274 + ... + 486719430.

Almost surely, 2^76414938264 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 76414938264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130869788400).

76414938264 is an abundant number, since it is smaller than the sum of its proper divisors (185324638536).

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

76414938264 is a wasteful number, since it uses less digits than its factorization.

76414938264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 76414938264 in words is "seventy-six billion, four hundred fourteen million, nine hundred thirty-eight thousand, two hundred sixty-four".