47506616640 has 336 divisors, whose sum is σ = 193664994432. Its totient is φ = 10858530816.

The previous prime is 47506616627. The next prime is 47506616657. The reversal of 47506616640 is 4661660574.

47506616640 is a `hidden beast` number, since 47 + 506 + 6 + 1 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 500682 + ... + 587958.

It is an arithmetic number, because the mean of its divisors is an integer number (576383912).

Almost surely, 2^47506616640 is an apocalyptic number.

47506616640 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 47506616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96832497216).

47506616640 is an abundant number, since it is smaller than the sum of its proper divisors (146158377792).

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

47506616640 is an equidigital number, since it uses as much as digits as its factorization.

47506616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87316 (or 87294 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 47506616640 in words is "forty-seven billion, five hundred six million, six hundred sixteen thousand, six hundred forty".