746197445664 has 960 divisors, whose sum is σ = 2668862794752. Its totient is φ = 201852518400.

The previous prime is 746197445663. The next prime is 746197445683. The reversal of 746197445664 is 466544791647.

746197445664 is a `hidden beast` number, since 7 + 4 + 61 + 9 + 7 + 4 + 4 + 566 + 4 = 666.

746197445664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (746197445663) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 796368204 + ... + 796369140.

Almost surely, 2^746197445664 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 746197445664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334431397376).

746197445664 is an abundant number, since it is smaller than the sum of its proper divisors (1922665349088).

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

746197445664 is a wasteful number, since it uses less digits than its factorization.

746197445664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1054 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 746197445664 in words is "seven hundred forty-six billion, one hundred ninety-seven million, four hundred forty-five thousand, six hundred sixty-four".