45910322640 has 960 divisors, whose sum is σ = 201719589120. Its totient is φ = 9510359040.

The previous prime is 45910322597. The next prime is 45910322663. The reversal of 45910322640 is 4622301954.

It is a happy number.

45910322640 is a `hidden beast` number, since 4 + 5 + 9 + 1 + 0 + 3 + 2 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45910322595 and 45910322604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83930847 + ... + 83931393.

It is an arithmetic number, because the mean of its divisors is an integer number (210124572).

Almost surely, 2^45910322640 is an apocalyptic number.

45910322640 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 45910322640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100859794560).

45910322640 is an abundant number, since it is smaller than the sum of its proper divisors (155809266480).

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

45910322640 is a wasteful number, since it uses less digits than its factorization.

45910322640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 45910322640 in words is "forty-five billion, nine hundred ten million, three hundred twenty-two thousand, six hundred forty".