74660313307200 has 336 divisors, whose sum is σ = 254394925539840. Its totient is φ = 19153665146880.

The previous prime is 74660313307171. The next prime is 74660313307201. The reversal of 74660313307200 is 270331306647.

It is not an unprimeable number, because it can be changed into a prime (74660313307201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13444689 + ... + 18168111.

Almost surely, 2^{74660313307200} 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 74660313307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127197462769920).

74660313307200 is an abundant number, since it is smaller than the sum of its proper divisors (179734612232640).

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

74660313307200 is a wasteful number, since it uses less digits than its factorization.

74660313307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4723574 (or 4723559 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The spelling of 74660313307200 in words is "seventy-four trillion, six hundred sixty billion, three hundred thirteen million, three hundred seven thousand, two hundred".