45269642880 has 960 divisors, whose sum is σ = 203281626240. Its totient is φ = 9397555200.

The previous prime is 45269642863. The next prime is 45269642921. The reversal of 45269642880 is 8824696254.

45269642880 is a `hidden beast` number, since 4 + 52 + 6 + 96 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 43907965 + ... + 43908995.

It is an arithmetic number, because the mean of its divisors is an integer number (211751694).

Almost surely, 2^45269642880 is an apocalyptic number.

45269642880 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 45269642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101640813120).

45269642880 is an abundant number, since it is smaller than the sum of its proper divisors (158011983360).

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

45269642880 is a wasteful number, since it uses less digits than its factorization.

45269642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 45269642880 in words is "forty-five billion, two hundred sixty-nine million, six hundred forty-two thousand, eight hundred eighty".