45880080672 has 96 divisors (see below), whose sum is σ = 126978001920. Its totient is φ = 14465122560.

The previous prime is 45880080671. The next prime is 45880080677. The reversal of 45880080672 is 27608008854.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (45880080671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131013 + ... + 1170875.

It is an arithmetic number, because the mean of its divisors is an integer number (1322687520).

Almost surely, 2^45880080672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45880080672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63489000960).

45880080672 is an abundant number, since it is smaller than the sum of its proper divisors (81097921248).

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

45880080672 is a wasteful number, since it uses less digits than its factorization.

45880080672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40526 (or 40518 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 45880080672 in words is "forty-five billion, eight hundred eighty million, eighty thousand, six hundred seventy-two".