74890126080 has 864 divisors, whose sum is σ = 329832921600. Its totient is φ = 15552552960.

The previous prime is 74890126067. The next prime is 74890126141. The reversal of 74890126080 is 8062109847.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43464099 + ... + 43465821.

Almost surely, 2^74890126080 is an apocalyptic number.

74890126080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74890126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164916460800).

74890126080 is an abundant number, since it is smaller than the sum of its proper divisors (254942795520).

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

74890126080 is a wasteful number, since it uses less digits than its factorization.

74890126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 74890126080 in words is "seventy-four billion, eight hundred ninety million, one hundred twenty-six thousand, eighty".