682458416640 has 1920 divisors, whose sum is σ = 3212146409472. Its totient is φ = 129313013760.

The previous prime is 682458416617. The next prime is 682458416657. The reversal of 682458416640 is 46614854286.

682458416640 is a `hidden beast` number, since 6 + 8 + 2 + 4 + 584 + 16 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2929005964 + ... + 2929006196.

Almost surely, 2^682458416640 is an apocalyptic number.

682458416640 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 682458416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606073204736).

682458416640 is an abundant number, since it is smaller than the sum of its proper divisors (2529687992832).

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

682458416640 is a wasteful number, since it uses less digits than its factorization.

682458416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 682458416640 in words is "six hundred eighty-two billion, four hundred fifty-eight million, four hundred sixteen thousand, six hundred forty".