6682472064 has 192 divisors, whose sum is σ = 21433464000. Its totient is φ = 1986011136.

The previous prime is 6682472033. The next prime is 6682472077. The reversal of 6682472064 is 4602742866.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×6682472064² = 89310865772280840192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363117 + ... + 381075.

It is an arithmetic number, because the mean of its divisors is an integer number (111632625).

Almost surely, 2^6682472064 is an apocalyptic number.

6682472064 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 6682472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10716732000).

6682472064 is an abundant number, since it is smaller than the sum of its proper divisors (14750991936).

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

6682472064 is a wasteful number, since it uses less digits than its factorization.

6682472064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18015 (or 18000 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 6682472064 is about 81746.3886908773. The cubic root of 6682472064 is about 1883.5582287381.

The spelling of 6682472064 in words is "six billion, six hundred eighty-two million, four hundred seventy-two thousand, sixty-four".