7568385408 has 96 divisors (see below), whose sum is σ = 21796734960. Its totient is φ = 2520720384.

The previous prime is 7568385361. The next prime is 7568385443. The reversal of 7568385408 is 8045838657.

7568385408 is a `hidden beast` number, since 7 + 5 + 68 + 38 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2125966 + ... + 2129522.

Almost surely, 2^7568385408 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 7568385408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10898367480).

7568385408 is an abundant number, since it is smaller than the sum of its proper divisors (14228349552).

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

7568385408 is a wasteful number, since it uses less digits than its factorization.

7568385408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424 (or 5409 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The square root of 7568385408 is about 86996.4677903649. The cubic root of 7568385408 is about 1963.3651588784.

The spelling of 7568385408 in words is "seven billion, five hundred sixty-eight million, three hundred eighty-five thousand, four hundred eight".