7866313728 has 352 divisors, whose sum is σ = 27181539840. Its totient is φ = 1964113920.

The previous prime is 7866313727. The next prime is 7866313739. The reversal of 7866313728 is 8273136687.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7866313727) 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, 5310748 + ... + 5312228.

Almost surely, 2^7866313728 is an apocalyptic number.

7866313728 is a gapful number since it is divisible by the number (78) 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 7866313728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13590769920).

7866313728 is an abundant number, since it is smaller than the sum of its proper divisors (19315226112).

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

7866313728 is a wasteful number, since it uses less digits than its factorization.

7866313728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1525 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 7866313728 is about 88692.2416449150. The cubic root of 7866313728 is about 1988.7968391028.

The spelling of 7866313728 in words is "seven billion, eight hundred sixty-six million, three hundred thirteen thousand, seven hundred twenty-eight".