7683723840 has 224 divisors, whose sum is σ = 26383585536. Its totient is φ = 1883381760.

The previous prime is 7683723809. The next prime is 7683723847. The reversal of 7683723840 is 483273867.

It is a super-2 number, since 2×7683723840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7683723840.

It is not an unprimeable number, because it can be changed into a prime (7683723847) 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, 3281070 + ... + 3283410.

It is an arithmetic number, because the mean of its divisors is an integer number (117783864).

Almost surely, 2^7683723840 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 7683723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13191792768).

7683723840 is an abundant number, since it is smaller than the sum of its proper divisors (18699861696).

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

7683723840 is a wasteful number, since it uses less digits than its factorization.

7683723840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 7683723840 is about 87656.8527840237. The cubic root of 7683723840 is about 1973.2884891603.

The spelling of 7683723840 in words is "seven billion, six hundred eighty-three million, seven hundred twenty-three thousand, eight hundred forty".