675069960576 has 128 divisors (see below), whose sum is σ = 1956529728000. Its totient is φ = 204528896000.

The previous prime is 675069960491. The next prime is 675069960623.

675069960576 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30194650 + ... + 30216998.

It is an arithmetic number, because the mean of its divisors is an integer number (15285388500).

Almost surely, 2^675069960576 is an apocalyptic number.

675069960576 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 675069960576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978264864000).

675069960576 is an abundant number, since it is smaller than the sum of its proper divisors (1281459767424).

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

675069960576 is a wasteful number, since it uses less digits than its factorization.

675069960576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29528 (or 29516 counting only the distinct ones).

The product of its (nonzero) digits is 128595600, while the sum is 66.

The spelling of 675069960576 in words is "six hundred seventy-five billion, sixty-nine million, nine hundred sixty thousand, five hundred seventy-six".