680400414162 has 72 divisors (see below), whose sum is σ = 1716699728016. Its totient is φ = 194194599984.

The previous prime is 680400414157. The next prime is 680400414193. The reversal of 680400414162 is 261414004086.

It is a happy number.

680400414162 is a `hidden beast` number, since 6 + 80 + 4 + 0 + 0 + 414 + 162 = 666.

680400414162 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×680400414162² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 427953 + ... + 1242555.

It is an arithmetic number, because the mean of its divisors is an integer number (23843051778).

Almost surely, 2^680400414162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680400414162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858349864008).

680400414162 is an abundant number, since it is smaller than the sum of its proper divisors (1036299313854).

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

680400414162 is a wasteful number, since it uses less digits than its factorization.

680400414162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815572 (or 815562 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 680400414162 in words is "six hundred eighty billion, four hundred million, four hundred fourteen thousand, one hundred sixty-two".