47324160964080 has 960 divisors, whose sum is σ = 217005900733440. Its totient is φ = 8923303526400.

The previous prime is 47324160964063. The next prime is 47324160964097. The reversal of 47324160964080 is 8046906142374.

47324160964080 is a `hidden beast` number, since 4 + 7 + 3 + 24 + 1 + 609 + 6 + 4 + 0 + 8 + 0 = 666.

47324160964080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47324160964063) and next prime (47324160964097).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41966020 + ... + 43078940.

It is an arithmetic number, because the mean of its divisors is an integer number (226047813264).

Almost surely, 2^{47324160964080} is an apocalyptic number.

47324160964080 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 47324160964080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108502950366720).

47324160964080 is an abundant number, since it is smaller than the sum of its proper divisors (169681739769360).

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

47324160964080 is a wasteful number, since it uses less digits than its factorization.

47324160964080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113030 (or 1113021 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 47324160964080 in words is "forty-seven trillion, three hundred twenty-four billion, one hundred sixty million, nine hundred sixty-four thousand, eighty".