746004038400 has 1080 divisors, whose sum is σ = 2897774613888. Its totient is φ = 189112320000.

The previous prime is 746004038389. The next prime is 746004038407. The reversal of 746004038400 is 4830400647.

746004038400 is a `hidden beast` number, since 7 + 4 + 600 + 4 + 0 + 3 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (746004038407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 980294020 + ... + 980294780.

Almost surely, 2^746004038400 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 746004038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448887306944).

746004038400 is an abundant number, since it is smaller than the sum of its proper divisors (2151770575488).

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

746004038400 is a wasteful number, since it uses less digits than its factorization.

746004038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 746004038400 in words is "seven hundred forty-six billion, four million, thirty-eight thousand, four hundred".