6706264320 has 576 divisors, whose sum is σ = 28648704000. Its totient is φ = 1451188224.

The previous prime is 6706264291. The next prime is 6706264321. The reversal of 6706264320 is 234626076.

It is a happy number.

6706264320 is a `hidden beast` number, since 6 + 7 + 0 + 6 + 2 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6706264320² = 89947962259410124800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6706264321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4595751 + ... + 4597209.

Almost surely, 2^6706264320 is an apocalyptic number.

6706264320 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 6706264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14324352000).

6706264320 is an abundant number, since it is smaller than the sum of its proper divisors (21942439680).

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

6706264320 is a wasteful number, since it uses less digits than its factorization.

6706264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 6706264320 is about 81891.7842033009. The cubic root of 6706264320 is about 1885.7909862545.

The spelling of 6706264320 in words is "six billion, seven hundred six million, two hundred sixty-four thousand, three hundred twenty".