682553783520 has 480 divisors, whose sum is σ = 2914912744128. Its totient is φ = 146834767872.

The previous prime is 682553783467. The next prime is 682553783567. The reversal of 682553783520 is 25387355286.

682553783520 is a `hidden beast` number, since 6 + 8 + 2 + 5 + 5 + 37 + 83 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1320954 + ... + 1763526.

Almost surely, 2^682553783520 is an apocalyptic number.

682553783520 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 682553783520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457456372064).

682553783520 is an abundant number, since it is smaller than the sum of its proper divisors (2232358960608).

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

682553783520 is a wasteful number, since it uses less digits than its factorization.

682553783520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442624 (or 442607 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 682553783520 in words is "six hundred eighty-two billion, five hundred fifty-three million, seven hundred eighty-three thousand, five hundred twenty".