45757071360 has 1536 divisors, whose sum is σ = 219845283840. Its totient is φ = 8493465600.

The previous prime is 45757071359. The next prime is 45757071407. The reversal of 45757071360 is 6317075754.

45757071360 is a `hidden beast` number, since 4 + 5 + 7 + 570 + 7 + 13 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 95 ways as a sum of consecutive naturals, for example, 1476034545 + ... + 1476034575.

It is an arithmetic number, because the mean of its divisors is an integer number (143128440).

Almost surely, 2^45757071360 is an apocalyptic number.

45757071360 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 45757071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109922641920).

45757071360 is an abundant number, since it is smaller than the sum of its proper divisors (174088212480).

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

45757071360 is a wasteful number, since it uses less digits than its factorization.

45757071360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 45757071360 in words is "forty-five billion, seven hundred fifty-seven million, seventy-one thousand, three hundred sixty".