47904292800 has 1008 divisors, whose sum is σ = 211864773120. Its totient is φ = 9996410880.

The previous prime is 47904292789. The next prime is 47904292801. The reversal of 47904292800 is 829240974.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47904292801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 182145469 + ... + 182145731.

Almost surely, 2^47904292800 is an apocalyptic number.

47904292800 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 47904292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105932386560).

47904292800 is an abundant number, since it is smaller than the sum of its proper divisors (163960480320).

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

47904292800 is a wasteful number, since it uses less digits than its factorization.

47904292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 47904292800 in words is "forty-seven billion, nine hundred four million, two hundred ninety-two thousand, eight hundred".