47661576720 has 160 divisors (see below), whose sum is σ = 156533731200. Its totient is φ = 11955118080.

The previous prime is 47661576719. The next prime is 47661576733. The reversal of 47661576720 is 2767516674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13458150 + ... + 13461690.

It is an arithmetic number, because the mean of its divisors is an integer number (978335820).

Almost surely, 2^47661576720 is an apocalyptic number.

47661576720 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 47661576720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78266865600).

47661576720 is an abundant number, since it is smaller than the sum of its proper divisors (108872154480).

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

47661576720 is a wasteful number, since it uses less digits than its factorization.

47661576720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6873 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 47661576720 in words is "forty-seven billion, six hundred sixty-one million, five hundred seventy-six thousand, seven hundred twenty".