47961175680 has 640 divisors, whose sum is σ = 188423832960. Its totient is φ = 11529216000.

The previous prime is 47961175673. The next prime is 47961175699. The reversal of 47961175680 is 8657116974.

47961175680 is a `hidden beast` number, since 4 + 7 + 9 + 61 + 17 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86105962 + ... + 86106518.

It is an arithmetic number, because the mean of its divisors is an integer number (294412239).

Almost surely, 2^47961175680 is an apocalyptic number.

47961175680 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 47961175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94211916480).

47961175680 is an abundant number, since it is smaller than the sum of its proper divisors (140462657280).

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

47961175680 is a wasteful number, since it uses less digits than its factorization.

47961175680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 47961175680 in words is "forty-seven billion, nine hundred sixty-one million, one hundred seventy-five thousand, six hundred eighty".