74080258560000 has 4160 divisors, whose sum is σ = 353737967616000. Its totient is φ = 14863564800000.

The previous prime is 74080258559987. The next prime is 74080258560013. The reversal of 74080258560000 is 6585208047.

74080258560000 is a `hidden beast` number, since 7 + 4 + 0 + 8 + 0 + 2 + 585 + 60 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (74080258559987) and next prime (74080258560013).

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 (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 164989439776 + ... + 164989440224.

Almost surely, 2^{74080258560000} is an apocalyptic number.

74080258560000 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 74080258560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176868983808000).

74080258560000 is an abundant number, since it is smaller than the sum of its proper divisors (279657709056000).

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

74080258560000 is a wasteful number, since it uses less digits than its factorization.

74080258560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 74080258560000 in words is "seventy-four trillion, eighty billion, two hundred fifty-eight million, five hundred sixty thousand".