746812946880000 has 3600 divisors, whose sum is σ = 3636269449502976. Its totient is φ = 143237652480000.

The previous prime is 746812946879959. The next prime is 746812946880031. The reversal of 746812946880000 is 88649218647.

746812946880000 is a `hidden beast` number, since 7 + 46 + 8 + 129 + 468 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 746812946880000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 37477430037 + ... + 37477449963.

Almost surely, 2^{746812946880000} is an apocalyptic number.

746812946880000 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 746812946880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818134724751488).

746812946880000 is an abundant number, since it is smaller than the sum of its proper divisors (2889456502622976).

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

746812946880000 is a wasteful number, since it uses less digits than its factorization.

746812946880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20015 (or 19968 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 746812946880000 in words is "seven hundred forty-six trillion, eight hundred twelve billion, nine hundred forty-six million, eight hundred eighty thousand".