746830064400 has 240 divisors, whose sum is σ = 2822307360768. Its totient is φ = 165197376000.

The previous prime is 746830064363. The next prime is 746830064417. The reversal of 746830064400 is 4460038647.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1173606 + ... + 1694405.

Almost surely, 2^746830064400 is an apocalyptic number.

746830064400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

746830064400 is an abundant number, since it is smaller than the sum of its proper divisors (2075477296368).

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

746830064400 is a wasteful number, since it uses less digits than its factorization.

746830064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868070 (or 2868059 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 746830064400 in words is "seven hundred forty-six billion, eight hundred thirty million, sixty-four thousand, four hundred".