8340689387520 has 2128 divisors, whose sum is σ = 36308174981760. Its totient is φ = 1797896798208.

The previous prime is 8340689387461. The next prime is 8340689387573. The reversal of 8340689387520 is 257839860438.

8340689387520 is a `hidden beast` number, since 8 + 3 + 40 + 68 + 9 + 3 + 8 + 7 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 193969520619 + ... + 193969520661.

Almost surely, 2^{8340689387520} is an apocalyptic number.

8340689387520 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 8340689387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18154087490880).

8340689387520 is an abundant number, since it is smaller than the sum of its proper divisors (27967485594240).

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

8340689387520 is an frugal number, since it uses more digits than its factorization.

8340689387520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 8340689387520 in words is "eight trillion, three hundred forty billion, six hundred eighty-nine million, three hundred eighty-seven thousand, five hundred twenty".