47201907600 has 675 divisors, whose sum is σ = 182525239171. Its totient is φ = 11679897600.

The previous prime is 47201907593. The next prime is 47201907691. The reversal of 47201907600 is 670910274.

It is a happy number.

The square root of 47201907600 is 217260.

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

47201907600 is a `hidden beast` number, since 47 + 2 + 0 + 1 + 9 + 0 + 7 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1104099984 + 46097807616 = 33228^2 + 214704^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 664815565 + ... + 664815635.

Almost surely, 2^47201907600 is an apocalyptic number.

47201907600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47201907600 is the 217260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47201907600

47201907600 is an abundant number, since it is smaller than the sum of its proper divisors (135323331571).

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

47201907600 is a wasteful number, since it uses less digits than its factorization.

47201907600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Multiplying 47201907600 by its sum of digits (36), we get a square (1699268673600 = 1303560²).

47201907600 divided by its sum of digits (36) gives a square (1311164100 = 36210²).

The spelling of 47201907600 in words is "forty-seven billion, two hundred one million, nine hundred seven thousand, six hundred".