74508252000 has 1152 divisors, whose sum is σ = 314792884224. Its totient is φ = 14999040000.

The previous prime is 74508251963. The next prime is 74508252023. The reversal of 74508252000 is 25280547.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1049411965 + ... + 1049412035.

It is an arithmetic number, because the mean of its divisors is an integer number (273257712).

Almost surely, 2^74508252000 is an apocalyptic number.

74508252000 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 74508252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157396442112).

74508252000 is an abundant number, since it is smaller than the sum of its proper divisors (240284632224).

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

74508252000 is a wasteful number, since it uses less digits than its factorization.

74508252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The spelling of 74508252000 in words is "seventy-four billion, five hundred eight million, two hundred fifty-two thousand".