682202666880 has 1536 divisors, whose sum is σ = 3089062656000. Its totient is φ = 138884087808.

The previous prime is 682202666813. The next prime is 682202666881. The reversal of 682202666880 is 88666202286.

682202666880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682202666881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 742331061 + ... + 742331979.

It is an arithmetic number, because the mean of its divisors is an integer number (2011108500).

Almost surely, 2^682202666880 is an apocalyptic number.

682202666880 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 682202666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544531328000).

682202666880 is an abundant number, since it is smaller than the sum of its proper divisors (2406859989120).

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

682202666880 is a wasteful number, since it uses less digits than its factorization.

682202666880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 682202666880 in words is "six hundred eighty-two billion, two hundred two million, six hundred sixty-six thousand, eight hundred eighty".