675316776960 has 1800 divisors, whose sum is σ = 2950577650944. Its totient is φ = 147149291520.

The previous prime is 675316776943. The next prime is 675316776973. The reversal of 675316776960 is 69677613576.

675316776960 is a `hidden beast` number, since 6 + 7 + 531 + 6 + 7 + 7 + 6 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 10079354847 + ... + 10079354913.

Almost surely, 2^675316776960 is an apocalyptic number.

675316776960 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 675316776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475288825472).

675316776960 is an abundant number, since it is smaller than the sum of its proper divisors (2275260873984).

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

675316776960 is an equidigital number, since it uses as much as digits as its factorization.

675316776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 63.

The spelling of 675316776960 in words is "six hundred seventy-five billion, three hundred sixteen million, seven hundred seventy-six thousand, nine hundred sixty".