47646480960 has 840 divisors, whose sum is σ = 187289922600. Its totient is φ = 11490066432.

The previous prime is 47646480883. The next prime is 47646481007. The reversal of 47646480960 is 6908464674.

47646480960 is a `hidden beast` number, since 4 + 76 + 4 + 6 + 480 + 96 + 0 = 666.

47646480960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 35368068096 + 12278412864 = 188064^2 + 110808^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 47646480897 and 47646480906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 319774966 + ... + 319775114.

Almost surely, 2^47646480960 is an apocalyptic number.

47646480960 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 47646480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93644961300).

47646480960 is an abundant number, since it is smaller than the sum of its proper divisors (139643441640).

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

47646480960 is a wasteful number, since it uses less digits than its factorization.

47646480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 47646480960 in words is "forty-seven billion, six hundred forty-six million, four hundred eighty thousand, nine hundred sixty".