47369636668800 has 1728 divisors, whose sum is σ = 181684384736400. Its totient is φ = 11734474752000.

The previous prime is 47369636668799. The next prime is 47369636668819. The reversal of 47369636668800 is 886663696374.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 143110684635 + ... + 143110684965.

Almost surely, 2^{47369636668800} is an apocalyptic number.

47369636668800 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 47369636668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90842192368200).

47369636668800 is an abundant number, since it is smaller than the sum of its proper divisors (134314748067600).

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

47369636668800 is a wasteful number, since it uses less digits than its factorization.

47369636668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 72.

The spelling of 47369636668800 in words is "forty-seven trillion, three hundred sixty-nine billion, six hundred thirty-six million, six hundred sixty-eight thousand, eight hundred".