7686283220 has 192 divisors, whose sum is σ = 20892598272. Its totient is φ = 2305152000.

The previous prime is 7686283181. The next prime is 7686283229. The reversal of 7686283220 is 223826867.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7686283229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11123075 + ... + 11123765.

It is an arithmetic number, because the mean of its divisors is an integer number (108815616).

Almost surely, 2^7686283220 is an apocalyptic number.

7686283220 is a gapful number since it is divisible by the number (70) 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 7686283220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10446299136).

7686283220 is an abundant number, since it is smaller than the sum of its proper divisors (13206315052).

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

7686283220 is a wasteful number, since it uses less digits than its factorization.

7686283220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 7686283220 is about 87671.4504271487. The cubic root of 7686283220 is about 1973.5075597809.

The spelling of 7686283220 in words is "seven billion, six hundred eighty-six million, two hundred eighty-three thousand, two hundred twenty".