687265536326400 has 432 divisors, whose sum is σ = 2525307842176000. Its totient is φ = 182894461194240.

The previous prime is 687265536326371. The next prime is 687265536326407. The reversal of 687265536326400 is 4623635562786.

687265536326400 is a `hidden beast` number, since 6 + 8 + 7 + 2 + 6 + 5 + 5 + 363 + 264 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (687265536326407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80070201 + ... + 88236999.

Almost surely, 2^{687265536326400} is an apocalyptic number.

687265536326400 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 687265536326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262653921088000).

687265536326400 is an abundant number, since it is smaller than the sum of its proper divisors (1838042305849600).

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

687265536326400 is a wasteful number, since it uses less digits than its factorization.

687265536326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8167321 (or 8167296 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 63.

The spelling of 687265536326400 in words is "six hundred eighty-seven trillion, two hundred sixty-five billion, five hundred thirty-six million, three hundred twenty-six thousand, four hundred".