74646064647 has 128 divisors (see below), whose sum is σ = 139731056640. Its totient is φ = 38257920000.

The previous prime is 74646064631. The next prime is 74646064667.

74646064647 is a `hidden beast` number, since 7 + 464 + 60 + 64 + 64 + 7 = 666.

74646064647 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 74646064647 - 2⁴ = 74646064631 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 74646064593 and 74646064602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74646064607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90920497 + ... + 90921317.

It is an arithmetic number, because the mean of its divisors is an integer number (1091648880).

Almost surely, 2^74646064647 is an apocalyptic number.

74646064647 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

74646064647 is a deficient number, since it is larger than the sum of its proper divisors (65084991993).

74646064647 is a wasteful number, since it uses less digits than its factorization.

74646064647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 74646064647 in words is "seventy-four billion, six hundred forty-six million, sixty-four thousand, six hundred forty-seven".