45568005840 has 320 divisors, whose sum is σ = 180108472320. Its totient is φ = 10373184000.

The previous prime is 45568005799. The next prime is 45568005853. The reversal of 45568005840 is 4850086554.

45568005840 is a `hidden beast` number, since 4 + 5 + 5 + 68 + 0 + 0 + 584 + 0 = 666.

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

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, 3789117 + ... + 3801123.

It is an arithmetic number, because the mean of its divisors is an integer number (562838976).

Almost surely, 2^45568005840 is an apocalyptic number.

45568005840 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 45568005840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90054236160).

45568005840 is an abundant number, since it is smaller than the sum of its proper divisors (134540466480).

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

45568005840 is a wasteful number, since it uses less digits than its factorization.

45568005840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12287 (or 12275 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 45568005840 in words is "forty-five billion, five hundred sixty-eight million, five thousand, eight hundred forty".