680406014400 has 336 divisors, whose sum is σ = 2701271321856. Its totient is φ = 146372935680.

The previous prime is 680406014399. The next prime is 680406014429. The reversal of 680406014400 is 4410604086.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24394 + ... + 1166793.

Almost surely, 2^680406014400 is an apocalyptic number.

680406014400 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 680406014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350635660928).

680406014400 is an abundant number, since it is smaller than the sum of its proper divisors (2020865307456).

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

680406014400 is a wasteful number, since it uses less digits than its factorization.

680406014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191236 (or 1191221 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 680406014400 its reverse (4410604086), we get a palindrome (684816618486).

The spelling of 680406014400 in words is "six hundred eighty billion, four hundred six million, fourteen thousand, four hundred".