47608715520 has 324 divisors, whose sum is σ = 171078109020. Its totient is φ = 12693417984.

The previous prime is 47608715501. The next prime is 47608715573. The reversal of 47608715520 is 2551780674.

47608715520 is a `hidden beast` number, since 4 + 7 + 608 + 7 + 15 + 5 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14216269824 + 33392445696 = 119232^2 + 182736^2 .

It is a tau number, because it is divible by the number of its divisors (324).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8395246 + ... + 8400914.

It is an arithmetic number, because the mean of its divisors is an integer number (528018855).

Almost surely, 2^47608715520 is an apocalyptic number.

47608715520 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 47608715520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85539054510).

47608715520 is an abundant number, since it is smaller than the sum of its proper divisors (123469393500).

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

47608715520 is an frugal number, since it uses more digits than its factorization.

47608715520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5714 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 47608715520 in words is "forty-seven billion, six hundred eight million, seven hundred fifteen thousand, five hundred twenty".