47712672000 has 1440 divisors, whose sum is σ = 214353135360. Its totient is φ = 10431590400.

The previous prime is 47712671957. The next prime is 47712672013. The reversal of 47712672000 is 27621774.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-4 number, since 4×47712672000⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2074463989 + ... + 2074464011.

It is an arithmetic number, because the mean of its divisors is an integer number (148856344).

Almost surely, 2^47712672000 is an apocalyptic number.

47712672000 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 47712672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107176567680).

47712672000 is an abundant number, since it is smaller than the sum of its proper divisors (166640463360).

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

47712672000 is an frugal number, since it uses more digits than its factorization.

47712672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 47712672000 in words is "forty-seven billion, seven hundred twelve million, six hundred seventy-two thousand".