6634815510960 has 960 divisors, whose sum is σ = 28623446482176. Its totient is φ = 1339932672000.

The previous prime is 6634815510937. The next prime is 6634815510971. The reversal of 6634815510960 is 690155184366.

6634815510960 is a `hidden beast` number, since 6 + 6 + 3 + 4 + 81 + 551 + 0 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6634815510897 and 6634815510906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142351660 + ... + 142398260.

Almost surely, 2^{6634815510960} is an apocalyptic number.

6634815510960 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 6634815510960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14311723241088).

6634815510960 is an abundant number, since it is smaller than the sum of its proper divisors (21988630971216).

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

6634815510960 is a wasteful number, since it uses less digits than its factorization.

6634815510960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46734 (or 46725 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 6634815510960 in words is "six trillion, six hundred thirty-four billion, eight hundred fifteen million, five hundred ten thousand, nine hundred sixty".