6645614976 has 1024 divisors, whose sum is σ = 28130457600. Its totient is φ = 1486356480.

The previous prime is 6645614953. The next prime is 6645615001. The reversal of 6645614976 is 6794165466.

6645614976 is a `hidden beast` number, since 6 + 6 + 4 + 561 + 4 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58810696 + ... + 58810808.

It is an arithmetic number, because the mean of its divisors is an integer number (27471150).

Almost surely, 2^6645614976 is an apocalyptic number.

6645614976 is a gapful number since it is divisible by the number (66) 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 6645614976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065228800).

6645614976 is an abundant number, since it is smaller than the sum of its proper divisors (21484842624).

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

6645614976 is a wasteful number, since it uses less digits than its factorization.

6645614976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 6645614976 is about 81520.6414106268. The cubic root of 6645614976 is about 1880.0889289456.

The spelling of 6645614976 in words is "six billion, six hundred forty-five million, six hundred fourteen thousand, nine hundred seventy-six".