675683769600 has 1728 divisors, whose sum is σ = 2992808448000. Its totient is φ = 145835458560.

The previous prime is 675683769583. The next prime is 675683769637. The reversal of 675683769600 is 6967386576.

675683769600 is a `hidden beast` number, since 6 + 7 + 568 + 3 + 7 + 6 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4145299119 + ... + 4145299281.

Almost surely, 2^675683769600 is an apocalyptic number.

675683769600 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 675683769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496404224000).

675683769600 is an abundant number, since it is smaller than the sum of its proper divisors (2317124678400).

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

675683769600 is a wasteful number, since it uses less digits than its factorization.

675683769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 675683769600 in words is "six hundred seventy-five billion, six hundred eighty-three million, seven hundred sixty-nine thousand, six hundred".