6601224960 has 432 divisors, whose sum is σ = 25190893728. Its totient is φ = 1582694400.

The previous prime is 6601224943. The next prime is 6601224979. The reversal of 6601224960 is 694221066.

6601224960 is a `hidden beast` number, since 6 + 601 + 2 + 2 + 49 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14319130 + ... + 14319590.

It is an arithmetic number, because the mean of its divisors is an integer number (58312254).

Almost surely, 2^6601224960 is an apocalyptic number.

6601224960 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 6601224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12595446864).

6601224960 is an abundant number, since it is smaller than the sum of its proper divisors (18589668768).

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

6601224960 is a wasteful number, since it uses less digits than its factorization.

6601224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6601224960 is about 81247.9228042170. The cubic root of 6601224960 is about 1875.8934962867.

The spelling of 6601224960 in words is "six billion, six hundred one million, two hundred twenty-four thousand, nine hundred sixty".