74850060902400 has 1008 divisors, whose sum is σ = 322543235227200. Its totient is φ = 16208080404480.

The previous prime is 74850060902387. The next prime is 74850060902411. The reversal of 74850060902400 is 420906005847.

It is a happy number.

74850060902400 is a `hidden beast` number, since 7 + 48 + 500 + 60 + 9 + 0 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 244992936 + ... + 245298264.

Almost surely, 2^{74850060902400} is an apocalyptic number.

74850060902400 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 74850060902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161271617613600).

74850060902400 is an abundant number, since it is smaller than the sum of its proper divisors (247693174324800).

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

74850060902400 is a wasteful number, since it uses less digits than its factorization.

74850060902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305397 (or 305365 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 74850060902400 in words is "seventy-four trillion, eight hundred fifty billion, sixty million, nine hundred two thousand, four hundred".