6675761664 has 480 divisors, whose sum is σ = 23467456320. Its totient is φ = 1861263360.

The previous prime is 6675761657. The next prime is 6675761669. The reversal of 6675761664 is 4661675766.

It is a happy number.

6675761664 is a `hidden beast` number, since 6 + 6 + 7 + 576 + 1 + 6 + 64 = 666.

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

Its product of digits (7620480) is a multiple of the sum of its prime divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 6675761664.

It is not an unprimeable number, because it can be changed into a prime (6675761669) 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 47 ways as a sum of consecutive naturals, for example, 21744999 + ... + 21745305.

It is an arithmetic number, because the mean of its divisors is an integer number (48890534).

Almost surely, 2^6675761664 is an apocalyptic number.

6675761664 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 6675761664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11733728160).

6675761664 is an abundant number, since it is smaller than the sum of its proper divisors (16791694656).

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

6675761664 is a wasteful number, since it uses less digits than its factorization.

6675761664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 336 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 6675761664 is about 81705.3343668576. The cubic root of 6675761664 is about 1882.9275408664.

The spelling of 6675761664 in words is "six billion, six hundred seventy-five million, seven hundred sixty-one thousand, six hundred sixty-four".