45591736320 has 624 divisors, whose sum is σ = 173882479680. Its totient is φ = 10980163584.

The previous prime is 45591736319. The next prime is 45591736343. The reversal of 45591736320 is 2363719554.

45591736320 is a `hidden beast` number, since 4 + 5 + 5 + 9 + 1 + 7 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126996301 + ... + 126996659.

It is an arithmetic number, because the mean of its divisors is an integer number (278657820).

Almost surely, 2^45591736320 is an apocalyptic number.

45591736320 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 45591736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86941239840).

45591736320 is an abundant number, since it is smaller than the sum of its proper divisors (128290743360).

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

45591736320 is a wasteful number, since it uses less digits than its factorization.

45591736320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 45591736320 in words is "forty-five billion, five hundred ninety-one million, seven hundred thirty-six thousand, three hundred twenty".