47676660480 has 576 divisors, whose sum is σ = 188610508800. Its totient is φ = 11333468160.

The previous prime is 47676660413. The next prime is 47676660517. The reversal of 47676660480 is 8406667674.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 11160745 + ... + 11165015.

It is an arithmetic number, because the mean of its divisors is an integer number (327448800).

Almost surely, 2^47676660480 is an apocalyptic number.

47676660480 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 47676660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94305254400).

47676660480 is an abundant number, since it is smaller than the sum of its proper divisors (140933848320).

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

47676660480 is a wasteful number, since it uses less digits than its factorization.

47676660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4337 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 47676660480 in words is "forty-seven billion, six hundred seventy-six million, six hundred sixty thousand, four hundred eighty".