47679552000 has 960 divisors, whose sum is σ = 185224216320. Its totient is φ = 11759616000.

The previous prime is 47679551987. The next prime is 47679552029. The reversal of 47679552000 is 25597674.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 781631970 + ... + 781632030.

It is an arithmetic number, because the mean of its divisors is an integer number (192941892).

Almost surely, 2^47679552000 is an apocalyptic number.

47679552000 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 47679552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92612108160).

47679552000 is an abundant number, since it is smaller than the sum of its proper divisors (137544664320).

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

47679552000 is a wasteful number, since it uses less digits than its factorization.

47679552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 47679552000 in words is "forty-seven billion, six hundred seventy-nine million, five hundred fifty-two thousand".