74127993878400 has 1152 divisors, whose sum is σ = 314922666337920. Its totient is φ = 15150643200000.

The previous prime is 74127993878371. The next prime is 74127993878429. The reversal of 74127993878400 is 487839972147.

It is an interprime number because it is at equal distance from previous prime (74127993878371) and next prime (74127993878429).

It is a super-2 number, since 2×74127993878400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 315520975 + ... + 315755825.

It is an arithmetic number, because the mean of its divisors is an integer number (273370370085).

Almost surely, 2^{74127993878400} is an apocalyptic number.

74127993878400 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 74127993878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157461333168960).

74127993878400 is an abundant number, since it is smaller than the sum of its proper divisors (240794672459520).

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

74127993878400 is a wasteful number, since it uses less digits than its factorization.

74127993878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234964 (or 234940 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 69.

The spelling of 74127993878400 in words is "seventy-four trillion, one hundred twenty-seven billion, nine hundred ninety-three million, eight hundred seventy-eight thousand, four hundred".