6334951983360 has 2304 divisors, whose sum is σ = 28862070128640. Its totient is φ = 1140407009280.

The previous prime is 6334951983307. The next prime is 6334951983377. The reversal of 6334951983360 is 633891594336.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6334951983294 and 6334951983303.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9275185579 + ... + 9275186261.

It is an arithmetic number, because the mean of its divisors is an integer number (12526940160).

Almost surely, 2^{6334951983360} is an apocalyptic number.

6334951983360 is a gapful number since it is divisible by the number (60) 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 6334951983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14431035064320).

6334951983360 is an abundant number, since it is smaller than the sum of its proper divisors (22527118145280).

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

6334951983360 is a wasteful number, since it uses less digits than its factorization.

6334951983360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 60.

The spelling of 6334951983360 in words is "six trillion, three hundred thirty-four billion, nine hundred fifty-one million, nine hundred eighty-three thousand, three hundred sixty".