74964434688 has 756 divisors, whose sum is σ = 268640626632. Its totient is φ = 20573429760.

The previous prime is 74964434669. The next prime is 74964434717. The reversal of 74964434688 is 88643446947.

74964434688 is a `hidden beast` number, since 74 + 9 + 6 + 443 + 46 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1414423270 + ... + 1414423322.

Almost surely, 2^74964434688 is an apocalyptic number.

74964434688 is a gapful number since it is divisible by the number (78) 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 74964434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134320313316).

74964434688 is an abundant number, since it is smaller than the sum of its proper divisors (193676191944).

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

74964434688 is an equidigital number, since it uses as much as digits as its factorization.

74964434688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 82 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 74964434688 in words is "seventy-four billion, nine hundred sixty-four million, four hundred thirty-four thousand, six hundred eighty-eight".