47617808000 has 192 divisors, whose sum is σ = 137720985480. Its totient is φ = 16325836800.

The previous prime is 47617807981. The next prime is 47617808011. The reversal of 47617808000 is 80871674.

It can be written as a sum of positive squares in 4 ways, for example, as 18502528576 + 29115279424 = 136024^2 + 170632^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 753632 + ... + 814368.

Almost surely, 2^47617808000 is an apocalyptic number.

47617808000 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 47617808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68860492740).

47617808000 is an abundant number, since it is smaller than the sum of its proper divisors (90103177480).

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

47617808000 is an equidigital number, since it uses as much as digits as its factorization.

47617808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60780 (or 60751 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The spelling of 47617808000 in words is "forty-seven billion, six hundred seventeen million, eight hundred eight thousand".