6675056640 has 384 divisors, whose sum is σ = 27125280000. Its totient is φ = 1525284864.

The previous prime is 6675056629. The next prime is 6675056657. The reversal of 6675056640 is 466505766.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6675056640² = 89112762294416179200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1933636 + ... + 1937084.

It is an arithmetic number, because the mean of its divisors is an integer number (70638750).

Almost surely, 2^6675056640 is an apocalyptic number.

6675056640 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 6675056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13562640000).

6675056640 is an abundant number, since it is smaller than the sum of its proper divisors (20450223360).

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

6675056640 is a wasteful number, since it uses less digits than its factorization.

6675056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 6675056640 is about 81701.0198222764. The cubic root of 6675056640 is about 1882.8612535068.

The spelling of 6675056640 in words is "six billion, six hundred seventy-five million, fifty-six thousand, six hundred forty".