686066962694400 has 1215 divisors, whose sum is σ = 2951425519065639. Its totient is φ = 156785131560960.

The previous prime is 686066962694339. The next prime is 686066962694431. The reversal of 686066962694400 is 4496269660686.

It is a happy number.

The square root of 686066962694400 is 26192880.

It is a perfect power (a square), and thus also a powerful number.

686066962694400 is a `hidden beast` number, since 6 + 8 + 6 + 0 + 6 + 69 + 62 + 69 + 440 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23089331978496 + 662977630715904 = 4805136^2 + 25748352^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 132012112602 + ... + 132012117798.

Almost surely, 2^{686066962694400} is an apocalyptic number.

686066962694400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

686066962694400 is the 26192880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686066962694400

686066962694400 is an abundant number, since it is smaller than the sum of its proper divisors (2265358556371239).

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

686066962694400 is an frugal number, since it uses more digits than its factorization.

686066962694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10446 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 967458816, while the sum is 72.

The spelling of 686066962694400 in words is "six hundred eighty-six trillion, sixty-six billion, nine hundred sixty-two million, six hundred ninety-four thousand, four hundred".