45770598720 has 2240 divisors, whose sum is σ = 229428080640. Its totient is φ = 8360755200.

The previous prime is 45770598707. The next prime is 45770598721. The reversal of 45770598720 is 2789507754.

It is a happy number.

45770598720 is a `hidden beast` number, since 45 + 7 + 7 + 0 + 598 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45770598721) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 644656285 + ... + 644656355.

Almost surely, 2^45770598720 is an apocalyptic number.

45770598720 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 45770598720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114714040320).

45770598720 is an abundant number, since it is smaller than the sum of its proper divisors (183657481920).

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

45770598720 is a wasteful number, since it uses less digits than its factorization.

45770598720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 45770598720 in words is "forty-five billion, seven hundred seventy million, five hundred ninety-eight thousand, seven hundred twenty".