47968647017400 has 192 divisors, whose sum is σ = 166928695567200. Its totient is φ = 12659766497280.

The previous prime is 47968647017387. The next prime is 47968647017413. The reversal of 47968647017400 is 471074686974.

47968647017400 is a `hidden beast` number, since 4 + 7 + 96 + 8 + 6 + 470 + 1 + 74 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47968647017387) and next prime (47968647017413).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45265287 + ... + 46312886.

Almost surely, 2^{47968647017400} is an apocalyptic number.

47968647017400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47968647017400 is an abundant number, since it is smaller than the sum of its proper divisors (118960048549800).

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

47968647017400 is a wasteful number, since it uses less digits than its factorization.

47968647017400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91578295 (or 91578280 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 47968647017400 in words is "forty-seven trillion, nine hundred sixty-eight billion, six hundred forty-seven million, seventeen thousand, four hundred".