47646452720 has 80 divisors (see below), whose sum is σ = 113439406080. Its totient is φ = 18601373952.

The previous prime is 47646452719. The next prime is 47646452731. The reversal of 47646452720 is 2725464674.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5386061 + ... + 5394899.

It is an arithmetic number, because the mean of its divisors is an integer number (1417992576).

Almost surely, 2^47646452720 is an apocalyptic number.

47646452720 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 47646452720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56719703040).

47646452720 is an abundant number, since it is smaller than the sum of its proper divisors (65792953360).

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

47646452720 is a wasteful number, since it uses less digits than its factorization.

47646452720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10462 (or 10456 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 47.

The spelling of 47646452720 in words is "forty-seven billion, six hundred forty-six million, four hundred fifty-two thousand, seven hundred twenty".