45327760704 has 420 divisors, whose sum is σ = 144801581364. Its totient is φ = 14013222912.

The previous prime is 45327760663. The next prime is 45327760711. The reversal of 45327760704 is 40706772354.

45327760704 is a `hidden beast` number, since 4 + 5 + 32 + 7 + 7 + 607 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36157783104 + 9169977600 = 190152^2 + 95760^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45327760704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 99185244 + ... + 99185700.

Almost surely, 2^45327760704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45327760704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72400790682).

45327760704 is an abundant number, since it is smaller than the sum of its proper divisors (99473820660).

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

45327760704 is a wasteful number, since it uses less digits than its factorization.

45327760704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 45327760704 in words is "forty-five billion, three hundred twenty-seven million, seven hundred sixty thousand, seven hundred four".