45692927280 has 960 divisors, whose sum is σ = 215161228800. Its totient is φ = 8761374720.

The previous prime is 45692927261. The next prime is 45692927311. The reversal of 45692927280 is 8272929654.

45692927280 is a `hidden beast` number, since 4 + 569 + 2 + 9 + 2 + 72 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15133611 + ... + 15136629.

It is an arithmetic number, because the mean of its divisors is an integer number (224126280).

Almost surely, 2^45692927280 is an apocalyptic number.

45692927280 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 45692927280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107580614400).

45692927280 is an abundant number, since it is smaller than the sum of its proper divisors (169468301520).

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

45692927280 is a wasteful number, since it uses less digits than its factorization.

45692927280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 45692927280 in words is "forty-five billion, six hundred ninety-two million, nine hundred twenty-seven thousand, two hundred eighty".