46889980824960 has 960 divisors, whose sum is σ = 207228156490080. Its totient is φ = 9893257740288.

The previous prime is 46889980824959. The next prime is 46889980824977. The reversal of 46889980824960 is 6942808998864.

46889980824960 is a `hidden beast` number, since 46 + 8 + 8 + 9 + 9 + 8 + 0 + 82 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 46889980824960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 60944424 + ... + 61709016.

Almost surely, 2^{46889980824960} is an apocalyptic number.

46889980824960 is a gapful number since it is divisible by the number (40) 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 46889980824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103614078245040).

46889980824960 is an abundant number, since it is smaller than the sum of its proper divisors (160338175665120).

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

46889980824960 is a wasteful number, since it uses less digits than its factorization.

46889980824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764657 (or 764623 counting only the distinct ones).

The product of its (nonzero) digits is 3439853568, while the sum is 81.

The spelling of 46889980824960 in words is "forty-six trillion, eight hundred eighty-nine billion, nine hundred eighty million, eight hundred twenty-four thousand, nine hundred sixty".