680302022400 has 5184 divisors, whose sum is σ = 3719841914880. Its totient is φ = 118244966400.

The previous prime is 680302022371. The next prime is 680302022437. The reversal of 680302022400 is 4220203086.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 29578348789 + ... + 29578348811.

Almost surely, 2^680302022400 is an apocalyptic number.

680302022400 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 680302022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859920957440).

680302022400 is an abundant number, since it is smaller than the sum of its proper divisors (3039539892480).

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

680302022400 is a wasteful number, since it uses less digits than its factorization.

680302022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 680302022400 its reverse (4220203086), we get a palindrome (684522225486).

The spelling of 680302022400 in words is "six hundred eighty billion, three hundred two million, twenty-two thousand, four hundred".