45996487680 has 704 divisors, whose sum is σ = 177219237888. Its totient is φ = 10032906240.

The previous prime is 45996487661. The next prime is 45996487703. The reversal of 45996487680 is 8678469954.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94448397 + ... + 94448883.

It is an arithmetic number, because the mean of its divisors is an integer number (251731872).

Almost surely, 2^45996487680 is an apocalyptic number.

45996487680 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 45996487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88609618944).

45996487680 is an abundant number, since it is smaller than the sum of its proper divisors (131222750208).

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

45996487680 is a wasteful number, since it uses less digits than its factorization.

45996487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 45996487680 in words is "forty-five billion, nine hundred ninety-six million, four hundred eighty-seven thousand, six hundred eighty".