746977478400 has 324 divisors, whose sum is σ = 2676898355040. Its totient is φ = 198725222400.

The previous prime is 746977478353. The next prime is 746977478417. The reversal of 746977478400 is 4874779647.

746977478400 is a `hidden beast` number, since 7 + 4 + 6 + 97 + 74 + 78 + 400 = 666.

746977478400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24810556 + ... + 24840644.

It is an arithmetic number, because the mean of its divisors is an integer number (8262031960).

Almost surely, 2^746977478400 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 746977478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338449177520).

746977478400 is an abundant number, since it is smaller than the sum of its proper divisors (1929920876640).

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

746977478400 is a wasteful number, since it uses less digits than its factorization.

746977478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30552 (or 30530 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 746977478400 in words is "seven hundred forty-six billion, nine hundred seventy-seven million, four hundred seventy-eight thousand, four hundred".