74813365878784 has 459 divisors, whose sum is σ = 170883385943907. Its totient is φ = 32735691276288.

The previous prime is 74813365878707. The next prime is 74813365878791. The reversal of 74813365878784 is 48787856331847.

The square root of 74813365878784 is 8649472.

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

It can be written as a sum of positive squares in 4 ways, for example, as 55828871184384 + 18984494694400 = 7471872^2 + 4357120^2 .

It is a super-2 number, since 2×74813365878784² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 662065184712 + ... + 662065184824.

Almost surely, 2^{74813365878784} is an apocalyptic number.

74813365878784 is the 8649472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74813365878784

74813365878784 is an abundant number, since it is smaller than the sum of its proper divisors (96070020065123).

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

74813365878784 is an frugal number, since it uses more digits than its factorization.

74813365878784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 151 counting only the distinct ones).

The product of its digits is 6069288960, while the sum is 79.

The spelling of 74813365878784 in words is "seventy-four trillion, eight hundred thirteen billion, three hundred sixty-five million, eight hundred seventy-eight thousand, seven hundred eighty-four".