76464741225744 has 45 divisors (see below), whose sum is σ = 213995368069509. Its totient is φ = 25488212097600.

The previous prime is 76464741225737. The next prime is 76464741225773. The reversal of 76464741225744 is 44752214746467.

The square root of 76464741225744 is 8744412.

It is a perfect power (a square), and thus also a powerful number.

76464741225744 is a `hidden beast` number, since 7 + 6 + 4 + 6 + 47 + 4 + 12 + 2 + 574 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8892395568144 + 67572345657600 = 2982012^2 + 8220240^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 104568594 + ... + 105297294.

Almost surely, 2^{76464741225744} is an apocalyptic number.

76464741225744 is the 8744412-nd square number.

It is an amenable number.

76464741225744 is an abundant number, since it is smaller than the sum of its proper divisors (137530626843765).

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

76464741225744 is an frugal number, since it uses more digits than its factorization.

76464741225744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457416 (or 728706 counting only the distinct ones).

The product of its digits is 252887040, while the sum is 63.

The spelling of 76464741225744 in words is "seventy-six trillion, four hundred sixty-four billion, seven hundred forty-one million, two hundred twenty-five thousand, seven hundred forty-four".