680321664 has 192 divisors, whose sum is σ = 2194901280. Its totient is φ = 200448000.

The previous prime is 680321639. The next prime is 680321689. The reversal of 680321664 is 466123086.

It is an interprime number because it is at equal distance from previous prime (680321639) and next prime (680321689).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468139 + ... + 469589.

Almost surely, 2^680321664 is an apocalyptic number.

680321664 is a gapful number since it is divisible by the number (64) 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 680321664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097450640).

680321664 is an abundant number, since it is smaller than the sum of its proper divisors (1514579616).

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

680321664 is a wasteful number, since it uses less digits than its factorization.

680321664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 680321664 is about 26082.9765172612. The cubic root of 680321664 is about 879.5045696153.

It can be divided in two parts, 68032 and 1664, that added together give a palindrome (69696).

The spelling of 680321664 in words is "six hundred eighty million, three hundred twenty-one thousand, six hundred sixty-four".