47631948826800 has 480 divisors, whose sum is σ = 168696736217856. Its totient is φ = 11415725568000.

The previous prime is 47631948826727. The next prime is 47631948826867. The reversal of 47631948826800 is 862884913674.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108090915 + ... + 108530685.

Almost surely, 2^{47631948826800} is an apocalyptic number.

47631948826800 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 47631948826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84348368108928).

47631948826800 is an abundant number, since it is smaller than the sum of its proper divisors (121064787391056).

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

47631948826800 is a wasteful number, since it uses less digits than its factorization.

47631948826800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439989 (or 439978 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 66.

The spelling of 47631948826800 in words is "forty-seven trillion, six hundred thirty-one billion, nine hundred forty-eight million, eight hundred twenty-six thousand, eight hundred".