6654735360 has 1056 divisors, whose sum is σ = 30427918080. Its totient is φ = 1343029248.

The previous prime is 6654735331. The next prime is 6654735361. The reversal of 6654735360 is 635374566.

6654735360 is a `hidden beast` number, since 66 + 54 + 7 + 3 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6654735361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 289336309 + ... + 289336331.

Almost surely, 2^6654735360 is an apocalyptic number.

6654735360 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 6654735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213959040).

6654735360 is an abundant number, since it is smaller than the sum of its proper divisors (23773182720).

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

6654735360 is a wasteful number, since it uses less digits than its factorization.

6654735360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The square root of 6654735360 is about 81576.5613396397. The cubic root of 6654735360 is about 1880.9486083398.

The spelling of 6654735360 in words is "six billion, six hundred fifty-four million, seven hundred thirty-five thousand, three hundred sixty".