74014894080 has 288 divisors, whose sum is σ = 257491732680. Its totient is φ = 19662766080.

The previous prime is 74014894073. The next prime is 74014894133. The reversal of 74014894080 is 8049841047.

It can be written as a sum of positive squares in 4 ways, for example, as 67833160704 + 6181733376 = 260448^2 + 78624^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27001510 + ... + 27004250.

Almost surely, 2^74014894080 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 74014894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128745866340).

74014894080 is an abundant number, since it is smaller than the sum of its proper divisors (183476838600).

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

74014894080 is a wasteful number, since it uses less digits than its factorization.

74014894080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 74014894080 in words is "seventy-four billion, fourteen million, eight hundred ninety-four thousand, eighty".