682153459384320 has 6528 divisors, whose sum is σ = 3274840333320192. Its totient is φ = 132090377011200.

The previous prime is 682153459384231. The next prime is 682153459384349. The reversal of 682153459384320 is 23483954351286.

682153459384320 is a `hidden beast` number, since 6 + 8 + 2 + 1 + 5 + 3 + 4 + 593 + 8 + 4 + 32 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 7032509890512 + ... + 7032509890608.

Almost surely, 2^{682153459384320} is an apocalyptic number.

682153459384320 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 682153459384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637420166660096).

682153459384320 is an abundant number, since it is smaller than the sum of its proper divisors (2592686873935872).

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

682153459384320 is an equidigital number, since it uses as much as digits as its factorization.

682153459384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 682153459384320 in words is "six hundred eighty-two trillion, one hundred fifty-three billion, four hundred fifty-nine million, three hundred eighty-four thousand, three hundred twenty".