74060956800 has 1152 divisors, whose sum is σ = 295844814720. Its totient is φ = 18247680000.

The previous prime is 74060956793. The next prime is 74060956831. The reversal of 74060956800 is 865906047.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

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, 733276750 + ... + 733276850.

It is an arithmetic number, because the mean of its divisors is an integer number (256809735).

Almost surely, 2^74060956800 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 74060956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147922407360).

74060956800 is an abundant number, since it is smaller than the sum of its proper divisors (221783857920).

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

74060956800 is a wasteful number, since it uses less digits than its factorization.

74060956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 74060956800 in words is "seventy-four billion, sixty million, nine hundred fifty-six thousand, eight hundred".