47006576100 has 567 divisors, whose sum is σ = 170438029419. Its totient is φ = 11239430400.

The previous prime is 47006576063. The next prime is 47006576101. The reversal of 47006576100 is 167560074.

The square root of 47006576100 is 216810.

It is a perfect power (a square), and thus also a powerful number.

47006576100 is a `hidden beast` number, since 4 + 70 + 0 + 6 + 576 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 257217444 + 46749358656 = 16038^2 + 216216^2 .

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

It is not an unprimeable number, because it can be changed into a prime (47006576101) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 643925664 + ... + 643925736.

Almost surely, 2^47006576100 is an apocalyptic number.

47006576100 is the 216810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47006576100

47006576100 is an abundant number, since it is smaller than the sum of its proper divisors (123431453319).

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

47006576100 is a wasteful number, since it uses less digits than its factorization.

47006576100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Multiplying 47006576100 by its sum of digits (36), we get a square (1692236739600 = 1300860²).

47006576100 divided by its sum of digits (36) gives a square (1305738225 = 36135²).

The spelling of 47006576100 in words is "forty-seven billion, six million, five hundred seventy-six thousand, one hundred".