47875837968 has 200 divisors, whose sum is σ = 158521461120. Its totient is φ = 13665024000.

The previous prime is 47875837931. The next prime is 47875837991. The reversal of 47875837968 is 86973857874.

47875837968 is a `hidden beast` number, since 478 + 7 + 5 + 83 + 79 + 6 + 8 = 666.

It is a super-2 number, since 2×47875837968² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 47875837896 and 47875837905.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11963968 + ... + 11967968.

Almost surely, 2^47875837968 is an apocalyptic number.

47875837968 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 47875837968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79260730560).

47875837968 is an abundant number, since it is smaller than the sum of its proper divisors (110645623152).

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

47875837968 is a wasteful number, since it uses less digits than its factorization.

47875837968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5347 (or 5332 counting only the distinct ones).

The product of its digits is 568995840, while the sum is 72.

The spelling of 47875837968 in words is "forty-seven billion, eight hundred seventy-five million, eight hundred thirty-seven thousand, nine hundred sixty-eight".