682615620000 has 1920 divisors, whose sum is σ = 2846562808320. Its totient is φ = 158146560000.

The previous prime is 682615619971. The next prime is 682615620047. The reversal of 682615620000 is 26516286.

682615620000 is a `hidden beast` number, since 6 + 8 + 26 + 1 + 5 + 620 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11190419970 + ... + 11190420030.

It is an arithmetic number, because the mean of its divisors is an integer number (1482584796).

Almost surely, 2^682615620000 is an apocalyptic number.

682615620000 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 682615620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423281404160).

682615620000 is an abundant number, since it is smaller than the sum of its proper divisors (2163947188320).

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

682615620000 is a wasteful number, since it uses less digits than its factorization.

682615620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 682615620000 in words is "six hundred eighty-two billion, six hundred fifteen million, six hundred twenty thousand".