47687328000 has 864 divisors, whose sum is σ = 189420521472. Its totient is φ = 11446272000.

The previous prime is 47687327981. The next prime is 47687328079. The reversal of 47687328000 is 82378674.

It is a happy number.

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

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 95 ways as a sum of consecutive naturals, for example, 175967865 + ... + 175968135.

Almost surely, 2^47687328000 is an apocalyptic number.

47687328000 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 47687328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94710260736).

47687328000 is an abundant number, since it is smaller than the sum of its proper divisors (141733193472).

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

47687328000 is a wasteful number, since it uses less digits than its factorization.

47687328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 47687328000 in words is "forty-seven billion, six hundred eighty-seven million, three hundred twenty-eight thousand".