8693690880 has 640 divisors, whose sum is σ = 33940684800. Its totient is φ = 1855586304.

The previous prime is 8693690869. The next prime is 8693690891. The reversal of 8693690880 is 880963968.

It is an interprime number because it is at equal distance from previous prime (8693690869) and next prime (8693690891).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×8693690880² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8693690880.

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 63 ways as a sum of consecutive naturals, for example, 97681876 + ... + 97681964.

It is an arithmetic number, because the mean of its divisors is an integer number (53032320).

Almost surely, 2^8693690880 is an apocalyptic number.

8693690880 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 8693690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16970342400).

8693690880 is an abundant number, since it is smaller than the sum of its proper divisors (25246993920).

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

8693690880 is a wasteful number, since it uses less digits than its factorization.

8693690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The square root of 8693690880 is about 93239.9639639570. The cubic root of 8693690880 is about 2056.2128300423.

The spelling of 8693690880 in words is "eight billion, six hundred ninety-three million, six hundred ninety thousand, eight hundred eighty".