47520237600 has 720 divisors, whose sum is σ = 190676233440. Its totient is φ = 11421388800.

The previous prime is 47520237599. The next prime is 47520237617. The reversal of 47520237600 is 673202574.

It is a happy number.

47520237600 is a `hidden beast` number, since 4 + 7 + 5 + 20 + 23 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 116186196 + ... + 116186604.

It is an arithmetic number, because the mean of its divisors is an integer number (264828102).

Almost surely, 2^47520237600 is an apocalyptic number.

47520237600 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 47520237600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95338116720).

47520237600 is an abundant number, since it is smaller than the sum of its proper divisors (143155995840).

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

47520237600 is a wasteful number, since it uses less digits than its factorization.

47520237600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 47520237600 in words is "forty-seven billion, five hundred twenty million, two hundred thirty-seven thousand, six hundred".