74468563814400 has 576 divisors, whose sum is σ = 282591902960640. Its totient is φ = 16946346393600.

The previous prime is 74468563814383. The next prime is 74468563814417. The reversal of 74468563814400 is 441836586447.

It is an interprime number because it is at equal distance from previous prime (74468563814383) and next prime (74468563814417).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243917845 + ... + 244222955.

It is an arithmetic number, because the mean of its divisors is an integer number (490610942640).

Almost surely, 2^{74468563814400} is an apocalyptic number.

74468563814400 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 74468563814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141295951480320).

74468563814400 is an abundant number, since it is smaller than the sum of its proper divisors (208123339146240).

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

74468563814400 is a wasteful number, since it uses less digits than its factorization.

74468563814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305380 (or 305355 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 60.

The spelling of 74468563814400 in words is "seventy-four trillion, four hundred sixty-eight billion, five hundred sixty-three million, eight hundred fourteen thousand, four hundred".