45980887680 has 1536 divisors, whose sum is σ = 214145164800. Its totient is φ = 9190858752.

The previous prime is 45980887669. The next prime is 45980887703. The reversal of 45980887680 is 8678808954.

It is a super-2 number, since 2×45980887680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 2420046711 + ... + 2420046729.

It is an arithmetic number, because the mean of its divisors is an integer number (139417425).

Almost surely, 2^45980887680 is an apocalyptic number.

45980887680 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 45980887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107072582400).

45980887680 is an abundant number, since it is smaller than the sum of its proper divisors (168164277120).

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

45980887680 is an equidigital number, since it uses as much as digits as its factorization.

45980887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 45980887680 in words is "forty-five billion, nine hundred eighty million, eight hundred eighty-seven thousand, six hundred eighty".