675090299268 has 576 divisors, whose sum is σ = 2276716216320. Its totient is φ = 163557273600.

The previous prime is 675090299251. The next prime is 675090299291. The reversal of 675090299268 is 862992090576.

675090299268 is a `hidden beast` number, since 67 + 509 + 0 + 2 + 9 + 9 + 2 + 68 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 359280753 + ... + 359282631.

It is an arithmetic number, because the mean of its divisors is an integer number (3952632320).

Almost surely, 2^675090299268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675090299268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138358108160).

675090299268 is an abundant number, since it is smaller than the sum of its proper divisors (1601625917052).

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

675090299268 is a wasteful number, since it uses less digits than its factorization.

675090299268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 675090299268 in words is "six hundred seventy-five billion, ninety million, two hundred ninety-nine thousand, two hundred sixty-eight".