7568288406 has 64 divisors (see below), whose sum is σ = 19294387200. Its totient is φ = 2154117888.

The previous prime is 7568288393. The next prime is 7568288407. The reversal of 7568288406 is 6048828657.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7568288407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61350 + ... + 137478.

It is an arithmetic number, because the mean of its divisors is an integer number (301474800).

Almost surely, 2^7568288406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7568288406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9647193600).

7568288406 is an abundant number, since it is smaller than the sum of its proper divisors (11726098794).

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

7568288406 is a wasteful number, since it uses less digits than its factorization.

7568288406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76410 (or 76404 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 7568288406 is about 86995.9102831852. The cubic root of 7568288406 is about 1963.3567708647.

The spelling of 7568288406 in words is "seven billion, five hundred sixty-eight million, two hundred eighty-eight thousand, four hundred six".