682767912960 has 1248 divisors, whose sum is σ = 2861382343680. Its totient is φ = 153986531328.

The previous prime is 682767912949. The next prime is 682767912971. The reversal of 682767912960 is 69219767286.

682767912960 is a `hidden beast` number, since 6 + 8 + 276 + 79 + 1 + 296 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (682767912949) and next prime (682767912971).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3061739409 + ... + 3061739631.

Almost surely, 2^682767912960 is an apocalyptic number.

682767912960 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 682767912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430691171840).

682767912960 is an abundant number, since it is smaller than the sum of its proper divisors (2178614430720).

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

682767912960 is a wasteful number, since it uses less digits than its factorization.

682767912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 682767912960 in words is "six hundred eighty-two billion, seven hundred sixty-seven million, nine hundred twelve thousand, nine hundred sixty".