47668776960 has 832 divisors, whose sum is σ = 187210874880. Its totient is φ = 10121379840.

The previous prime is 47668776929. The next prime is 47668776971. The reversal of 47668776960 is 6967786674.

It is a junction number, because it is equal to n+sod(n) for n = 47668776891 and 47668776900.

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 63 ways as a sum of consecutive naturals, for example, 603402201 + ... + 603402279.

Almost surely, 2^47668776960 is an apocalyptic number.

47668776960 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 47668776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93605437440).

47668776960 is an abundant number, since it is smaller than the sum of its proper divisors (139542097920).

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

47668776960 is a wasteful number, since it uses less digits than its factorization.

47668776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 66.

The spelling of 47668776960 in words is "forty-seven billion, six hundred sixty-eight million, seven hundred seventy-six thousand, nine hundred sixty".