45737602560 has 1200 divisors, whose sum is σ = 190154454336. Its totient is φ = 10439000064.

The previous prime is 45737602531. The next prime is 45737602567. The reversal of 45737602560 is 6520673754.

45737602560 is a `hidden beast` number, since 4 + 5 + 7 + 37 + 602 + 5 + 6 + 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 not an unprimeable number, because it can be changed into a prime (45737602567) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 973140457 + ... + 973140503.

Almost surely, 2^45737602560 is an apocalyptic number.

45737602560 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 45737602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95077227168).

45737602560 is an abundant number, since it is smaller than the sum of its proper divisors (144416851776).

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

45737602560 is a wasteful number, since it uses less digits than its factorization.

45737602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 45737602560 in words is "forty-five billion, seven hundred thirty-seven million, six hundred two thousand, five hundred sixty".