74966440000 has 175 divisors, whose sum is σ = 191056082327. Its totient is φ = 29176128000.

The previous prime is 74966439971. The next prime is 74966440057. The reversal of 74966440000 is 4466947.

The square root of 74966440000 is 273800.

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

It can be written as a sum of positive squares in 12 ways, for example, as 49202337856 + 25764102144 = 221816^2 + 160512^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=370.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 2026119982 + ... + 2026120018.

Almost surely, 2^74966440000 is an apocalyptic number.

74966440000 is the 273800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74966440000

74966440000 is an abundant number, since it is smaller than the sum of its proper divisors (116089642327).

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

74966440000 is an frugal number, since it uses more digits than its factorization.

74966440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 74966440000 in words is "seventy-four billion, nine hundred sixty-six million, four hundred forty thousand".