47969618400 has 432 divisors, whose sum is σ = 185919381648. Its totient is φ = 11541504000.

The previous prime is 47969618399. The next prime is 47969618429. The reversal of 47969618400 is 481696974.

47969618400 is a `hidden beast` number, since 479 + 6 + 96 + 1 + 84 + 0 + 0 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 10848190 + ... + 10852610.

It is an arithmetic number, because the mean of its divisors is an integer number (430368939).

Almost surely, 2^47969618400 is an apocalyptic number.

47969618400 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 47969618400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92959690824).

47969618400 is an abundant number, since it is smaller than the sum of its proper divisors (137949763248).

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

47969618400 is a wasteful number, since it uses less digits than its factorization.

47969618400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 47969618400 in words is "forty-seven billion, nine hundred sixty-nine million, six hundred eighteen thousand, four hundred".