6726608064 has 280 divisors, whose sum is σ = 21907195200. Its totient is φ = 2023902720.

The previous prime is 6726608047. The next prime is 6726608081. The reversal of 6726608064 is 4608066276.

It is an interprime number because it is at equal distance from previous prime (6726608047) and next prime (6726608081).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10206967 + ... + 10207625.

Almost surely, 2^6726608064 is an apocalyptic number.

6726608064 is a gapful number since it is divisible by the number (64) 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 6726608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10953597600).

6726608064 is an abundant number, since it is smaller than the sum of its proper divisors (15180587136).

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

6726608064 is a wasteful number, since it uses less digits than its factorization.

6726608064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6726608064 is about 82015.9012874942. The cubic root of 6726608064 is about 1887.6959375794.

The spelling of 6726608064 in words is "six billion, seven hundred twenty-six million, six hundred eight thousand, sixty-four".