6611480064 has 320 divisors, whose sum is σ = 23687769600. Its totient is φ = 1777434624.

The previous prime is 6611480063. The next prime is 6611480107. The reversal of 6611480064 is 4600841166.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6611480063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1643047 + ... + 1647065.

It is an arithmetic number, because the mean of its divisors is an integer number (74024280).

Almost surely, 2^6611480064 is an apocalyptic number.

6611480064 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 6611480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11843884800).

6611480064 is an abundant number, since it is smaller than the sum of its proper divisors (17076289536).

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

6611480064 is a wasteful number, since it uses less digits than its factorization.

6611480064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6611480064 is about 81311.0082584148. The cubic root of 6611480064 is about 1876.8644034388.

The spelling of 6611480064 in words is "six billion, six hundred eleven million, four hundred eighty thousand, sixty-four".