7685414352 has 640 divisors, whose sum is σ = 29483827200. Its totient is φ = 1857945600.

The previous prime is 7685414293. The next prime is 7685414369. The reversal of 7685414352 is 2534145867.

7685414352 is a `hidden beast` number, since 7 + 68 + 541 + 43 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7685414298 and 7685414307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29904208 + ... + 29904464.

It is an arithmetic number, because the mean of its divisors is an integer number (46068480).

Almost surely, 2^7685414352 is an apocalyptic number.

7685414352 is a gapful number since it is divisible by the number (72) 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 7685414352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14741913600).

7685414352 is an abundant number, since it is smaller than the sum of its proper divisors (21798412848).

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

7685414352 is a wasteful number, since it uses less digits than its factorization.

7685414352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 7685414352 is about 87666.4950365874. The cubic root of 7685414352 is about 1973.4331943113.

The spelling of 7685414352 in words is "seven billion, six hundred eighty-five million, four hundred fourteen thousand, three hundred fifty-two".