47068001452800 has 648 divisors, whose sum is σ = 170648934019200. Its totient is φ = 12375918182400.

The previous prime is 47068001452751. The next prime is 47068001452811. The reversal of 47068001452800 is 825410086074.

47068001452800 is a `hidden beast` number, since 47 + 0 + 6 + 80 + 0 + 1 + 4 + 528 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1175768785 + ... + 1175808815.

It is an arithmetic number, because the mean of its divisors is an integer number (263347120400).

Almost surely, 2^{47068001452800} is an apocalyptic number.

47068001452800 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 47068001452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85324467009600).

47068001452800 is an abundant number, since it is smaller than the sum of its proper divisors (123580932566400).

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

47068001452800 is a wasteful number, since it uses less digits than its factorization.

47068001452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40349 (or 40327 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 47068001452800 in words is "forty-seven trillion, sixty-eight billion, one million, four hundred fifty-two thousand, eight hundred".