45932627784960 has 576 divisors, whose sum is σ = 190084052928000. Its totient is φ = 10498883641344.

The previous prime is 45932627784913. The next prime is 45932627784983. The reversal of 45932627784960 is 6948772623954.

45932627784960 is a `hidden beast` number, since 4 + 5 + 9 + 3 + 2 + 62 + 7 + 78 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9916662 + ... + 13791498.

Almost surely, 2^{45932627784960} is an apocalyptic number.

45932627784960 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 45932627784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95042026464000).

45932627784960 is an abundant number, since it is smaller than the sum of its proper divisors (144151425143040).

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

45932627784960 is an equidigital number, since it uses as much as digits as its factorization.

45932627784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874888 (or 3874854 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 45932627784960 in words is "forty-five trillion, nine hundred thirty-two billion, six hundred twenty-seven million, seven hundred eighty-four thousand, nine hundred sixty".