47721676800 has 816 divisors, whose sum is σ = 192433199360. Its totient is φ = 10192158720.

The previous prime is 47721676729. The next prime is 47721676829. The reversal of 47721676800 is 867612774.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47721676800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 653721564 + ... + 653721636.

Almost surely, 2^47721676800 is an apocalyptic number.

47721676800 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 47721676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96216599680).

47721676800 is an abundant number, since it is smaller than the sum of its proper divisors (144711522560).

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

47721676800 is an equidigital number, since it uses as much as digits as its factorization.

47721676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 47721676800 in words is "forty-seven billion, seven hundred twenty-one million, six hundred seventy-six thousand, eight hundred".