680414192640 has 528 divisors, whose sum is σ = 2901700908288. Its totient is φ = 143559032832.

The previous prime is 680414192617. The next prime is 680414192657. The reversal of 680414192640 is 46291414086.

680414192640 is a `hidden beast` number, since 6 + 8 + 0 + 414 + 192 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4112149 + ... + 4274411.

Almost surely, 2^680414192640 is an apocalyptic number.

680414192640 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 680414192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450850454144).

680414192640 is an abundant number, since it is smaller than the sum of its proper divisors (2221286715648).

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

680414192640 is a wasteful number, since it uses less digits than its factorization.

680414192640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162314 (or 162293 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 680414192640 in words is "six hundred eighty billion, four hundred fourteen million, one hundred ninety-two thousand, six hundred forty".