6695506440 has 512 divisors, whose sum is σ = 27495936000. Its totient is φ = 1414361088.

The previous prime is 6695506427. The next prime is 6695506469. The reversal of 6695506440 is 446055966.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7582239 + ... + 7583121.

It is an arithmetic number, because the mean of its divisors is an integer number (53703000).

Almost surely, 2^6695506440 is an apocalyptic number.

6695506440 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 6695506440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13747968000).

6695506440 is an abundant number, since it is smaller than the sum of its proper divisors (20800429560).

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

6695506440 is a wasteful number, since it uses less digits than its factorization.

6695506440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 6695506440 is about 81826.0743284193. The cubic root of 6695506440 is about 1884.7820802660.

The spelling of 6695506440 in words is "six billion, six hundred ninety-five million, five hundred six thousand, four hundred forty".