74064199680 has 432 divisors, whose sum is σ = 266221945080. Its totient is φ = 19025362944.

The previous prime is 74064199633. The next prime is 74064199757. The reversal of 74064199680 is 8699146047.

It can be written as a sum of positive squares in 4 ways, for example, as 45256605696 + 28807593984 = 212736^2 + 169728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171048744 + ... + 171049176.

Almost surely, 2^74064199680 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 74064199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133110972540).

74064199680 is an abundant number, since it is smaller than the sum of its proper divisors (192157745400).

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

74064199680 is an equidigital number, since it uses as much as digits as its factorization.

74064199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 74064199680 in words is "seventy-four billion, sixty-four million, one hundred ninety-nine thousand, six hundred eighty".