47688264000 has 1568 divisors, whose sum is σ = 207363645216. Its totient is φ = 10749542400.

The previous prime is 47688263977. The next prime is 47688264011. The reversal of 47688264000 is 46288674.

It can be written as a sum of positive squares in 16 ways, for example, as 25410910464 + 22277353536 = 159408^2 + 149256^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1288871982 + ... + 1288872018.

Almost surely, 2^47688264000 is an apocalyptic number.

47688264000 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 47688264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103681822608).

47688264000 is an abundant number, since it is smaller than the sum of its proper divisors (159675381216).

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

47688264000 is a wasteful number, since it uses less digits than its factorization.

47688264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 47688264000 in words is "forty-seven billion, six hundred eighty-eight million, two hundred sixty-four thousand".