74938050720 has 672 divisors, whose sum is σ = 290202674832. Its totient is φ = 18166726656.

The previous prime is 74938050667. The next prime is 74938050731. The reversal of 74938050720 is 2705083947.

74938050720 is a `hidden beast` number, since 7 + 49 + 3 + 80 + 507 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 46516136976 + 28421913744 = 215676^2 + 168588^2 .

It is a super-2 number, since 2×74938050720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 111 ways as a sum of consecutive naturals, for example, 110691022 + ... + 110691698.

Almost surely, 2^74938050720 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 74938050720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145101337416).

74938050720 is an abundant number, since it is smaller than the sum of its proper divisors (215264624112).

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

74938050720 is a wasteful number, since it uses less digits than its factorization.

74938050720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 74938050720 in words is "seventy-four billion, nine hundred thirty-eight million, fifty thousand, seven hundred twenty".