47649888000 has 1296 divisors, whose sum is σ = 204815913120. Its totient is φ = 10543104000.

The previous prime is 47649887959. The next prime is 47649888001. The reversal of 47649888000 is 88894674.

47649888000 is a `hidden beast` number, since 4 + 76 + 498 + 8 + 80 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47649888001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 535391956 + ... + 535392044.

It is an arithmetic number, because the mean of its divisors is an integer number (158036970).

Almost surely, 2^47649888000 is an apocalyptic number.

47649888000 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 47649888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102407956560).

47649888000 is an abundant number, since it is smaller than the sum of its proper divisors (157166025120).

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

47649888000 is a wasteful number, since it uses less digits than its factorization.

47649888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 47649888000 in words is "forty-seven billion, six hundred forty-nine million, eight hundred eighty-eight thousand".