47678437178960 has 320 divisors, whose sum is σ = 135443696762880. Its totient is φ = 15255392655360.

The previous prime is 47678437178959. The next prime is 47678437178993. The reversal of 47678437178960 is 6987173487674.

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, 121997465 + ... + 122387655.

It is an arithmetic number, because the mean of its divisors is an integer number (423261552384).

Almost surely, 2^{47678437178960} is an apocalyptic number.

47678437178960 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 47678437178960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67721848381440).

47678437178960 is an abundant number, since it is smaller than the sum of its proper divisors (87765259583920).

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

47678437178960 is a wasteful number, since it uses less digits than its factorization.

47678437178960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390466 (or 390460 counting only the distinct ones).

The product of its (nonzero) digits is 2389782528, while the sum is 77.

The spelling of 47678437178960 in words is "forty-seven trillion, six hundred seventy-eight billion, four hundred thirty-seven million, one hundred seventy-eight thousand, nine hundred sixty".