682565075142720 has 448 divisors, whose sum is σ = 2702103321102336. Its totient is φ = 141820713861120.

The previous prime is 682565075142677. The next prime is 682565075142787. The reversal of 682565075142720 is 27241570565286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 971475064 + ... + 972177416.

Almost surely, 2^{682565075142720} is an apocalyptic number.

682565075142720 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 682565075142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351051660551168).

682565075142720 is an abundant number, since it is smaller than the sum of its proper divisors (2019538245959616).

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

682565075142720 is a wasteful number, since it uses less digits than its factorization.

682565075142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715538 (or 715528 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 60.

The spelling of 682565075142720 in words is "six hundred eighty-two trillion, five hundred sixty-five billion, seventy-five million, one hundred forty-two thousand, seven hundred twenty".