47424268800 has 720 divisors, whose sum is σ = 179155616640. Its totient is φ = 12421693440.

The previous prime is 47424268799. The next prime is 47424268811. The reversal of 47424268800 is 886242474.

47424268800 is a `hidden beast` number, since 474 + 2 + 42 + 68 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×47424268800² (a number of 22 digits) contains 22 as substring.

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, 245721504 + ... + 245721696.

Almost surely, 2^47424268800 is an apocalyptic number.

47424268800 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 47424268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89577808320).

47424268800 is an abundant number, since it is smaller than the sum of its proper divisors (131731347840).

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

47424268800 is an equidigital number, since it uses as much as digits as its factorization.

47424268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 47424268800 in words is "forty-seven billion, four hundred twenty-four million, two hundred sixty-eight thousand, eight hundred".