45807887664 has 640 divisors, whose sum is σ = 174274560000. Its totient is φ = 11253116160.

The previous prime is 45807887639. The next prime is 45807887669. The reversal of 45807887664 is 46678870854.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (45807887669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76473637 + ... + 76474235.

It is an arithmetic number, because the mean of its divisors is an integer number (272304000).

Almost surely, 2^45807887664 is an apocalyptic number.

45807887664 is a gapful number since it is divisible by the number (44) 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 45807887664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87137280000).

45807887664 is an abundant number, since it is smaller than the sum of its proper divisors (128466672336).

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

45807887664 is a wasteful number, since it uses less digits than its factorization.

45807887664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 45807887664 in words is "forty-five billion, eight hundred seven million, eight hundred eighty-seven thousand, six hundred sixty-four".