676632692736 has 1728 divisors, whose sum is σ = 2773194278400. Its totient is φ = 156996403200.

The previous prime is 676632692719. The next prime is 676632692741. The reversal of 676632692736 is 637296236676.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21826861041 + ... + 21826861071.

It is an arithmetic number, because the mean of its divisors is an integer number (1604857800).

Almost surely, 2^676632692736 is an apocalyptic number.

676632692736 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 676632692736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386597139200).

676632692736 is an abundant number, since it is smaller than the sum of its proper divisors (2096561585664).

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

676632692736 is a wasteful number, since it uses less digits than its factorization.

676632692736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 67 counting only the distinct ones).

The product of its digits is 123451776, while the sum is 63.

The spelling of 676632692736 in words is "six hundred seventy-six billion, six hundred thirty-two million, six hundred ninety-two thousand, seven hundred thirty-six".