47875423680 has 896 divisors, whose sum is σ = 203748802560. Its totient is φ = 10346434560.

The previous prime is 47875423627. The next prime is 47875423699. The reversal of 47875423680 is 8632457874.

47875423680 is a `hidden beast` number, since 4 + 78 + 75 + 423 + 6 + 80 = 666.

47875423680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176661945 + ... + 176662215.

Almost surely, 2^47875423680 is an apocalyptic number.

47875423680 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 47875423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101874401280).

47875423680 is an abundant number, since it is smaller than the sum of its proper divisors (155873378880).

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

47875423680 is a wasteful number, since it uses less digits than its factorization.

47875423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 47875423680 in words is "forty-seven billion, eight hundred seventy-five million, four hundred twenty-three thousand, six hundred eighty".