45702740160 has 1344 divisors, whose sum is σ = 215681356800. Its totient is φ = 8918138880.

The previous prime is 45702740159. The next prime is 45702740179. The reversal of 45702740160 is 6104720754.

45702740160 is a `hidden beast` number, since 4 + 570 + 2 + 74 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101787616 + ... + 101788064.

It is an arithmetic number, because the mean of its divisors is an integer number (160477200).

Almost surely, 2^45702740160 is an apocalyptic number.

45702740160 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 45702740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107840678400).

45702740160 is an abundant number, since it is smaller than the sum of its proper divisors (169978616640).

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

45702740160 is a wasteful number, since it uses less digits than its factorization.

45702740160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 45702740160 in words is "forty-five billion, seven hundred two million, seven hundred forty thousand, one hundred sixty".