746994966681600 has 3456 divisors, whose sum is σ = 3377692438848000. Its totient is φ = 156769733836800.

The previous prime is 746994966681581. The next prime is 746994966681611. The reversal of 746994966681600 is 6186669499647.

It is a self number, because there is not a number n which added to its sum of digits gives 746994966681600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 433543218339 + ... + 433543220061.

Almost surely, 2^{746994966681600} is an apocalyptic number.

746994966681600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746994966681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688846219424000).

746994966681600 is an abundant number, since it is smaller than the sum of its proper divisors (2630697472166400).

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

746994966681600 is a wasteful number, since it uses less digits than its factorization.

746994966681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 5079158784, while the sum is 81.

The spelling of 746994966681600 in words is "seven hundred forty-six trillion, nine hundred ninety-four billion, nine hundred sixty-six million, six hundred eighty-one thousand, six hundred".