74864391782400 has 2304 divisors, whose sum is σ = 306684170956800. Its totient is φ = 17953062912000.

The previous prime is 74864391782399. The next prime is 74864391782413. The reversal of 74864391782400 is 428719346847.

74864391782400 is a `hidden beast` number, since 7 + 4 + 8 + 6 + 439 + 178 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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, 391960166305 + ... + 391960166495.

It is an arithmetic number, because the mean of its divisors is an integer number (133109449200).

Almost surely, 2^{74864391782400} 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 74864391782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153342085478400).

74864391782400 is an abundant number, since it is smaller than the sum of its proper divisors (231819779174400).

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

74864391782400 is a wasteful number, since it uses less digits than its factorization.

74864391782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 74864391782400 in words is "seventy-four trillion, eight hundred sixty-four billion, three hundred ninety-one million, seven hundred eighty-two thousand, four hundred".