47969832960 has 1040 divisors, whose sum is σ = 208942056576. Its totient is φ = 10319560704.

The previous prime is 47969832947. The next prime is 47969832983. The reversal of 47969832960 is 6923896974.

47969832960 is a `hidden beast` number, since 479 + 6 + 9 + 83 + 29 + 60 = 666.

It is a super-2 number, since 2×47969832960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2821754872 + ... + 2821754888.

Almost surely, 2^47969832960 is an apocalyptic number.

47969832960 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 47969832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104471028288).

47969832960 is an abundant number, since it is smaller than the sum of its proper divisors (160972223616).

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

47969832960 is an frugal number, since it uses more digits than its factorization.

47969832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 47969832960 in words is "forty-seven billion, nine hundred sixty-nine million, eight hundred thirty-two thousand, nine hundred sixty".