682353637056 has 280 divisors, whose sum is σ = 2489490880800. Its totient is φ = 179961274368.

The previous prime is 682353637033. The next prime is 682353637073. The reversal of 682353637056 is 650736353286.

It is a happy number.

682353637056 is a `hidden beast` number, since 6 + 8 + 23 + 536 + 37 + 0 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 682353636993 and 682353637011.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 251481 + ... + 1194968.

It is an arithmetic number, because the mean of its divisors is an integer number (8891038860).

Almost surely, 2^682353637056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682353637056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244745440400).

682353637056 is an abundant number, since it is smaller than the sum of its proper divisors (1807137243744).

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

682353637056 is a wasteful number, since it uses less digits than its factorization.

682353637056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446493 (or 1446474 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 682353637056 in words is "six hundred eighty-two billion, three hundred fifty-three million, six hundred thirty-seven thousand, fifty-six".