74684785795200 has 768 divisors, whose sum is σ = 313084747008000. Its totient is φ = 17031861964800.

The previous prime is 74684785795199. The next prime is 74684785795211. The reversal of 74684785795200 is 259758748647.

It is a happy number.

74684785795200 is a `hidden beast` number, since 7 + 4 + 6 + 8 + 47 + 8 + 57 + 9 + 520 + 0 = 666.

74684785795200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265366555 + ... + 265647845.

It is an arithmetic number, because the mean of its divisors is an integer number (407662431000).

Almost surely, 2^{74684785795200} is an apocalyptic number.

74684785795200 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 74684785795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156542373504000).

74684785795200 is an abundant number, since it is smaller than the sum of its proper divisors (238399961212800).

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

74684785795200 is a wasteful number, since it uses less digits than its factorization.

74684785795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281770 (or 281747 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 74684785795200 in words is "seventy-four trillion, six hundred eighty-four billion, seven hundred eighty-five million, seven hundred ninety-five thousand, two hundred".