680427014400 has 729 divisors, whose sum is σ = 2835627598713. Its totient is φ = 155209420800.

The previous prime is 680427014363. The next prime is 680427014419. The reversal of 680427014400 is 4410724086.

The square root of 680427014400 is 824880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 244953725184 + 435473289216 = 494928^2 + 659904^2 .

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 80 ways as a sum of consecutive naturals, for example, 1385798155 + ... + 1385798645.

Almost surely, 2^680427014400 is an apocalyptic number.

680427014400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

680427014400 is the 824880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680427014400

680427014400 is an abundant number, since it is smaller than the sum of its proper divisors (2155200584313).

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

680427014400 is an equidigital number, since it uses as much as digits as its factorization.

680427014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Multiplying 680427014400 by its sum of digits (36), we get a square (24495372518400 = 4949280²).

680427014400 divided by its sum of digits (36) gives a square (18900750400 = 137480²).

Adding to 680427014400 its reverse (4410724086), we get a palindrome (684837738486).

The spelling of 680427014400 in words is "six hundred eighty billion, four hundred twenty-seven million, fourteen thousand, four hundred".