45468440640 has 672 divisors, whose sum is σ = 187843363200. Its totient is φ = 10323210240.

The previous prime is 45468440617. The next prime is 45468440701. The reversal of 45468440640 is 4604486454.

45468440640 is a `hidden beast` number, since 4 + 546 + 8 + 4 + 40 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 89328706 + ... + 89329214.

Almost surely, 2^45468440640 is an apocalyptic number.

45468440640 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 45468440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93921681600).

45468440640 is an abundant number, since it is smaller than the sum of its proper divisors (142374922560).

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

45468440640 is a wasteful number, since it uses less digits than its factorization.

45468440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 45468440640 in words is "forty-five billion, four hundred sixty-eight million, four hundred forty thousand, six hundred forty".