676392837120 has 2688 divisors, whose sum is σ = 3315646586880. Its totient is φ = 126977310720.

The previous prime is 676392837103. The next prime is 676392837121. The reversal of 676392837120 is 21738293676.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676392837121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14391336937 + ... + 14391336983.

Almost surely, 2^676392837120 is an apocalyptic number.

676392837120 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 676392837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657823293440).

676392837120 is an abundant number, since it is smaller than the sum of its proper divisors (2639253749760).

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

676392837120 is a wasteful number, since it uses less digits than its factorization.

676392837120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 676392837120 in words is "six hundred seventy-six billion, three hundred ninety-two million, eight hundred thirty-seven thousand, one hundred twenty".