47076164100 has 432 divisors, whose sum is σ = 171910747008. Its totient is φ = 10553518080.

The previous prime is 47076164081. The next prime is 47076164123. The reversal of 47076164100 is 146167074.

47076164100 is a `hidden beast` number, since 4 + 7 + 0 + 7 + 6 + 1 + 641 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 103011072 + ... + 103011528.

It is an arithmetic number, because the mean of its divisors is an integer number (397941544).

Almost surely, 2^47076164100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47076164100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85955373504).

47076164100 is an abundant number, since it is smaller than the sum of its proper divisors (124834582908).

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

47076164100 is a wasteful number, since it uses less digits than its factorization.

47076164100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 47076164100 in words is "forty-seven billion, seventy-six million, one hundred sixty-four thousand, one hundred".