47646720000 has 900 divisors, whose sum is σ = 191625610176. Its totient is φ = 11304960000.

The previous prime is 47646719999. The next prime is 47646720013. The reversal of 47646720000 is 2764674.

47646720000 is a `hidden beast` number, since 4 + 7 + 646 + 7 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1013759977 + ... + 1013760023.

Almost surely, 2^47646720000 is an apocalyptic number.

47646720000 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 47646720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95812805088).

47646720000 is an abundant number, since it is smaller than the sum of its proper divisors (143978890176).

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

47646720000 is an equidigital number, since it uses as much as digits as its factorization.

47646720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 47646720000 in words is "forty-seven billion, six hundred forty-six million, seven hundred twenty thousand".