8680694400 has 768 divisors, whose sum is σ = 37559500800. Its totient is φ = 1916006400.

The previous prime is 8680694389. The next prime is 8680694443. The reversal of 8680694400 is 44960868.

It is a happy number.

8680694400 is a `hidden beast` number, since 86 + 80 + 6 + 94 + 400 = 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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18748569 + ... + 18749031.

It is an arithmetic number, because the mean of its divisors is an integer number (48905600).

Almost surely, 2^8680694400 is an apocalyptic number.

8680694400 is a gapful number since it is divisible by the number (80) 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 8680694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18779750400).

8680694400 is an abundant number, since it is smaller than the sum of its proper divisors (28878806400).

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

8680694400 is a wasteful number, since it uses less digits than its factorization.

8680694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 511 counting only the distinct ones).

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

The square root of 8680694400 is about 93170.2441769903. The cubic root of 8680694400 is about 2055.1876859854.

The spelling of 8680694400 in words is "eight billion, six hundred eighty million, six hundred ninety-four thousand, four hundred".