47820064320 has 1008 divisors, whose sum is σ = 209450562048. Its totient is φ = 9940008960.

The previous prime is 47820064309. The next prime is 47820064333. The reversal of 47820064320 is 2346002874.

47820064320 is a `hidden beast` number, since 4 + 7 + 8 + 2 + 0 + 0 + 643 + 2 + 0 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74369919 + ... + 74370561.

It is an arithmetic number, because the mean of its divisors is an integer number (207788256).

Almost surely, 2^47820064320 is an apocalyptic number.

47820064320 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 47820064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104725281024).

47820064320 is an abundant number, since it is smaller than the sum of its proper divisors (161630497728).

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

47820064320 is a wasteful number, since it uses less digits than its factorization.

47820064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 47820064320 in words is "forty-seven billion, eight hundred twenty million, sixty-four thousand, three hundred twenty".