47682801048960 has 1792 divisors, whose sum is σ = 224299842854400. Its totient is φ = 9386500423680.

The previous prime is 47682801048943. The next prime is 47682801048983. The reversal of 47682801048960 is 6984010828674.

47682801048960 is a `hidden beast` number, since 4 + 7 + 6 + 8 + 2 + 80 + 10 + 489 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 682542352 + ... + 682612208.

Almost surely, 2^{47682801048960} is an apocalyptic number.

47682801048960 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 47682801048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112149921427200).

47682801048960 is an abundant number, since it is smaller than the sum of its proper divisors (176617041805440).

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

47682801048960 is a wasteful number, since it uses less digits than its factorization.

47682801048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69931 (or 69904 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 47682801048960 in words is "forty-seven trillion, six hundred eighty-two billion, eight hundred one million, forty-eight thousand, nine hundred sixty".