45795970080 has 768 divisors, whose sum is σ = 192239308800. Its totient is φ = 9963233280.

The previous prime is 45795970069. The next prime is 45795970133. The reversal of 45795970080 is 8007959754.

45795970080 is a `hidden beast` number, since 45 + 7 + 9 + 597 + 0 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45795969999 and 45795970026.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53312691 + ... + 53313549.

It is an arithmetic number, because the mean of its divisors is an integer number (250311600).

Almost surely, 2^45795970080 is an apocalyptic number.

45795970080 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 45795970080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96119654400).

45795970080 is an abundant number, since it is smaller than the sum of its proper divisors (146443338720).

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

45795970080 is a wasteful number, since it uses less digits than its factorization.

45795970080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 45795970080 in words is "forty-five billion, seven hundred ninety-five million, nine hundred seventy thousand, eighty".