47975296190976 has 2560 divisors, whose sum is σ = 192871335444480. Its totient is φ = 11537842176000.

The previous prime is 47975296190963. The next prime is 47975296191049. The reversal of 47975296190976 is 67909169257974.

47975296190976 is a `hidden beast` number, since 4 + 7 + 9 + 7 + 529 + 6 + 19 + 0 + 9 + 76 = 666.

It is a super-2 number, since 2×47975296190976² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 47975296190895 and 47975296190904.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 104067887386 + ... + 104067887846.

It is an arithmetic number, because the mean of its divisors is an integer number (75340365408).

Almost surely, 2^{47975296190976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47975296190976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96435667722240).

47975296190976 is an abundant number, since it is smaller than the sum of its proper divisors (144896039253504).

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

47975296190976 is an equidigital number, since it uses as much as digits as its factorization.

47975296190976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 3240609120, while the sum is 81.

The spelling of 47975296190976 in words is "forty-seven trillion, nine hundred seventy-five billion, two hundred ninety-six million, one hundred ninety thousand, nine hundred seventy-six".