7866408960 has 280 divisors, whose sum is σ = 28212705576. Its totient is φ = 2096824320.

The previous prime is 7866408889. The next prime is 7866408967. The reversal of 7866408960 is 698046687.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7866408897 and 7866408906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7866408967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3316575 + ... + 3318945.

Almost surely, 2^7866408960 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 7866408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106352788).

7866408960 is an abundant number, since it is smaller than the sum of its proper divisors (20346296616).

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

7866408960 is an equidigital number, since it uses as much as digits as its factorization.

7866408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 7866408960 is about 88692.7785109927. The cubic root of 7866408960 is about 1988.8048647313.

The spelling of 7866408960 in words is "seven billion, eight hundred sixty-six million, four hundred eight thousand, nine hundred sixty".