675756657576 has 1152 divisors, whose sum is σ = 2575979677440. Its totient is φ = 155271168000.

The previous prime is 675756657509. The next prime is 675756657617.

It is a happy number.

675756657576 is a `hidden beast` number, since 6 + 7 + 5 + 7 + 566 + 5 + 7 + 57 + 6 = 666.

675756657576 is nontrivially palindromic in base 10.

675756657576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3501329736 + ... + 3501329928.

It is an arithmetic number, because the mean of its divisors is an integer number (2236093470).

Almost surely, 2^675756657576 is an apocalyptic number.

675756657576 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 675756657576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287989838720).

675756657576 is an abundant number, since it is smaller than the sum of its proper divisors (1900223019864).

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

675756657576 is a wasteful number, since it uses less digits than its factorization.

675756657576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 367 counting only the distinct ones).

The product of its digits is 1944810000, while the sum is 72.

The spelling of 675756657576 in words is "six hundred seventy-five billion, seven hundred fifty-six million, six hundred fifty-seven thousand, five hundred seventy-six".