45844807680 has 1080 divisors, whose sum is σ = 195796718208. Its totient is φ = 10255859712.

The previous prime is 45844807669. The next prime is 45844807691. The reversal of 45844807680 is 8670844854.

45844807680 is a `hidden beast` number, since 4 + 5 + 84 + 480 + 7 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (45844807669) and next prime (45844807691).

It is a tau number, because it is divible by the number of its divisors (1080).

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 71 ways as a sum of consecutive naturals, for example, 975421417 + ... + 975421463.

Almost surely, 2^45844807680 is an apocalyptic number.

45844807680 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 45844807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97898359104).

45844807680 is an abundant number, since it is smaller than the sum of its proper divisors (149951910528).

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

45844807680 is an frugal number, since it uses more digits than its factorization.

45844807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 45844807680 in words is "forty-five billion, eight hundred forty-four million, eight hundred seven thousand, six hundred eighty".