74692890000 has 225 divisors, whose sum is σ = 261498870919. Its totient is φ = 19896240000.

The previous prime is 74692889963. The next prime is 74692890017. The reversal of 74692890000 is 9829647.

It is a happy number.

The square root of 74692890000 is 273300.

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

It can be written as a sum of positive squares in 2 ways, for example, as 5855922576 + 68836967424 = 76524^2 + 262368^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

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 44 ways as a sum of consecutive naturals, for example, 81989545 + ... + 81990455.

Almost surely, 2^74692890000 is an apocalyptic number.

74692890000 is the 273300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74692890000

74692890000 is an abundant number, since it is smaller than the sum of its proper divisors (186805980919).

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

74692890000 is an frugal number, since it uses more digits than its factorization.

74692890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 74692890000 in words is "seventy-four billion, six hundred ninety-two million, eight hundred ninety thousand".