74345656896 has 315 divisors, whose sum is σ = 256839596937. Its totient is φ = 21202352640.

The previous prime is 74345656877. The next prime is 74345656897. The reversal of 74345656896 is 69865654347.

The square root of 74345656896 is 272664.

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

74345656896 is a `hidden beast` number, since 7 + 4 + 3 + 4 + 565 + 68 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29537234496 + 44808422400 = 171864^2 + 211680^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (130636800) is a multiple of the sum of its prime factors (1120).

It is not an unprimeable number, because it can be changed into a prime (74345656897) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 137422386 + ... + 137422926.

Almost surely, 2^74345656896 is an apocalyptic number.

74345656896 is the 272664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74345656896

74345656896 is an abundant number, since it is smaller than the sum of its proper divisors (182493940041).

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

74345656896 is an frugal number, since it uses more digits than its factorization.

74345656896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 553 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 74345656896 in words is "seventy-four billion, three hundred forty-five million, six hundred fifty-six thousand, eight hundred ninety-six".