76426981065792 has 672 divisors, whose sum is σ = 267603014525184. Its totient is φ = 20356890624000.

The previous prime is 76426981065791. The next prime is 76426981065859. The reversal of 76426981065792 is 29756018962467.

76426981065792 is a `hidden beast` number, since 7 + 6 + 42 + 6 + 9 + 8 + 1 + 0 + 6 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 76426981065792.

It is not an unprimeable number, because it can be changed into a prime (76426981065791) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22082338942 + ... + 22082342402.

Almost surely, 2^{76426981065792} is an apocalyptic number.

76426981065792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76426981065792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133801507262592).

76426981065792 is an abundant number, since it is smaller than the sum of its proper divisors (191176033459392).

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

76426981065792 is a wasteful number, since it uses less digits than its factorization.

76426981065792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6467 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 76426981065792 in words is "seventy-six trillion, four hundred twenty-six billion, nine hundred eighty-one million, sixty-five thousand, seven hundred ninety-two".