47617072128 has 220 divisors, whose sum is σ = 142721212392. Its totient is φ = 15813550080.

The previous prime is 47617072099. The next prime is 47617072141. The reversal of 47617072128 is 82127071674.

47617072128 is a `hidden beast` number, since 4 + 7 + 617 + 0 + 7 + 2 + 1 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26292343 + ... + 26294153.

Almost surely, 2^47617072128 is an apocalyptic number.

47617072128 is a gapful number since it is divisible by the number (48) 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 47617072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71360606196).

47617072128 is an abundant number, since it is smaller than the sum of its proper divisors (95104140264).

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

47617072128 is a wasteful number, since it uses less digits than its factorization.

47617072128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 47617072128 in words is "forty-seven billion, six hundred seventeen million, seventy-two thousand, one hundred twenty-eight".