76405742218944 has 336 divisors, whose sum is σ = 230424558354432. Its totient is φ = 24158937470976.

The previous prime is 76405742218831. The next prime is 76405742218957. The reversal of 76405742218944 is 44981224750467.

76405742218944 is a `hidden beast` number, since 7 + 6 + 4 + 0 + 574 + 2 + 2 + 18 + 9 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4480478322 + ... + 4480495374.

Almost surely, 2^{76405742218944} 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 76405742218944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115212279177216).

76405742218944 is an abundant number, since it is smaller than the sum of its proper divisors (154018816135488).

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

76405742218944 is a wasteful number, since it uses less digits than its factorization.

76405742218944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19884 (or 19871 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 76405742218944 in words is "seventy-six trillion, four hundred five billion, seven hundred forty-two million, two hundred eighteen thousand, nine hundred forty-four".