47504620800 has 2160 divisors, whose sum is σ = 231851410560. Its totient is φ = 9316270080.

The previous prime is 47504620799. The next prime is 47504620841. The reversal of 47504620800 is 802640574.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 896313574 + ... + 896313626.

It is an arithmetic number, because the mean of its divisors is an integer number (107338616).

Almost surely, 2^47504620800 is an apocalyptic number.

47504620800 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 47504620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115925705280).

47504620800 is an abundant number, since it is smaller than the sum of its proper divisors (184346789760).

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

47504620800 is a wasteful number, since it uses less digits than its factorization.

47504620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 47504620800 in words is "forty-seven billion, five hundred four million, six hundred twenty thousand, eight hundred".