680207463936000 has 9984 divisors, whose sum is σ = 3497804505022464. Its totient is φ = 122624409600000.

The previous prime is 680207463935977. The next prime is 680207463936023. The reversal of 680207463936000 is 639364702086.

680207463936000 is a `hidden beast` number, since 6 + 8 + 0 + 20 + 7 + 4 + 6 + 3 + 9 + 3 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (680207463935977) and next prime (680207463936023).

It is a tau number, because it is divible by the number of its divisors (9984).

It is a super-2 number, since 2×680207463936000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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 767 ways as a sum of consecutive naturals, for example, 9580386815965 + ... + 9580386816035.

It is an arithmetic number, because the mean of its divisors is an integer number (350340996096).

Almost surely, 2^{680207463936000} is an apocalyptic number.

680207463936000 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 680207463936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748902252511232).

680207463936000 is an abundant number, since it is smaller than the sum of its proper divisors (2817597041086464).

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

680207463936000 is a wasteful number, since it uses less digits than its factorization.

680207463936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 680207463936000 in words is "six hundred eighty trillion, two hundred seven billion, four hundred sixty-three million, nine hundred thirty-six thousand".