74078310338400 has 288 divisors, whose sum is σ = 244056009415680. Its totient is φ = 19514488238080.

The previous prime is 74078310338381. The next prime is 74078310338423. The reversal of 74078310338400 is 483301387047.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 74078310338400.

It is a congruent number.

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, 235443589 + ... + 235758011.

It is an arithmetic number, because the mean of its divisors is an integer number (847416699360).

Almost surely, 2^{74078310338400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74078310338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122028004707840).

74078310338400 is an abundant number, since it is smaller than the sum of its proper divisors (169977699077280).

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

74078310338400 is a wasteful number, since it uses less digits than its factorization.

74078310338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315638 (or 315625 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 74078310338400 in words is "seventy-four trillion, seventy-eight billion, three hundred ten million, three hundred thirty-eight thousand, four hundred".