676065971809800 has 3072 divisors, whose sum is σ = 2861053680844800. Its totient is φ = 144501719040000.

The previous prime is 676065971809687. The next prime is 676065971809801. The reversal of 676065971809800 is 8908179560676.

676065971809800 is a `hidden beast` number, since 6 + 7 + 606 + 5 + 9 + 7 + 1 + 8 + 0 + 9 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (676065971809801) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 691981546912 + ... + 691981547888.

It is an arithmetic number, because the mean of its divisors is an integer number (931332578400).

Almost surely, 2^{676065971809800} is an apocalyptic number.

676065971809800 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 676065971809800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430526840422400).

676065971809800 is an abundant number, since it is smaller than the sum of its proper divisors (2184987709035000).

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

676065971809800 is a wasteful number, since it uses less digits than its factorization.

676065971809800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 676065971809800 in words is "six hundred seventy-six trillion, sixty-five billion, nine hundred seventy-one million, eight hundred nine thousand, eight hundred".