682497678038400 has 3072 divisors, whose sum is σ = 2963972793600000. Its totient is φ = 153277725081600.

The previous prime is 682497678038389. The next prime is 682497678038419. The reversal of 682497678038400 is 4830876794286.

682497678038400 is a `hidden beast` number, since 6 + 8 + 2 + 49 + 76 + 7 + 80 + 38 + 400 = 666.

682497678038400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 841550773995 + ... + 841550774805.

It is an arithmetic number, because the mean of its divisors is an integer number (964834893750).

Almost surely, 2^{682497678038400} is an apocalyptic number.

682497678038400 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 682497678038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481986396800000).

682497678038400 is an abundant number, since it is smaller than the sum of its proper divisors (2281475115561600).

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

682497678038400 is a wasteful number, since it uses less digits than its factorization.

682497678038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 682497678038400 in words is "six hundred eighty-two trillion, four hundred ninety-seven billion, six hundred seventy-eight million, thirty-eight thousand, four hundred".