7685141856 has 192 divisors, whose sum is σ = 24608489472. Its totient is φ = 2049933312.

The previous prime is 7685141851. The next prime is 7685141939. The reversal of 7685141856 is 6581415867.

It is a super-2 number, since 2×7685141856² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 7685141799 and 7685141808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7685141851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1448200 + ... + 1453496.

It is an arithmetic number, because the mean of its divisors is an integer number (128169216).

Almost surely, 2^7685141856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7685141856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12304244736).

7685141856 is an abundant number, since it is smaller than the sum of its proper divisors (16923347616).

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

7685141856 is a wasteful number, since it uses less digits than its factorization.

7685141856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5453 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 51.

The square root of 7685141856 is about 87664.9408600724. The cubic root of 7685141856 is about 1973.4098705198.

The spelling of 7685141856 in words is "seven billion, six hundred eighty-five million, one hundred forty-one thousand, eight hundred fifty-six".