47996633600 has 120 divisors (see below), whose sum is σ = 121817117268. Its totient is φ = 18730188800.

The previous prime is 47996633557. The next prime is 47996633603. The reversal of 47996633600 is 633669974.

It can be written as a sum of positive squares in 6 ways, for example, as 1761313024 + 46235320576 = 41968^2 + 215024^2 .

It is not an unprimeable number, because it can be changed into a prime (47996633603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 479072 + ... + 570528.

Almost surely, 2^47996633600 is an apocalyptic number.

47996633600 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 47996633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60908558634).

47996633600 is an abundant number, since it is smaller than the sum of its proper divisors (73820483668).

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

47996633600 is an equidigital number, since it uses as much as digits as its factorization.

47996633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91526 (or 91505 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 53.

The spelling of 47996633600 in words is "forty-seven billion, nine hundred ninety-six million, six hundred thirty-three thousand, six hundred".