682095025920 has 576 divisors, whose sum is σ = 2720248602624. Its totient is φ = 141511311360.

The previous prime is 682095025891. The next prime is 682095026003. The reversal of 682095025920 is 29520590286.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 682095025920.

It is a congruent number.

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, 243343239 + ... + 243346041.

It is an arithmetic number, because the mean of its divisors is an integer number (4722653824).

Almost surely, 2^682095025920 is an apocalyptic number.

682095025920 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 682095025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360124301312).

682095025920 is an abundant number, since it is smaller than the sum of its proper divisors (2038153576704).

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

682095025920 is a wasteful number, since it uses less digits than its factorization.

682095025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 682095025920 in words is "six hundred eighty-two billion, ninety-five million, twenty-five thousand, nine hundred twenty".