7568016960 has 224 divisors, whose sum is σ = 27580937472. Its totient is φ = 1722286080.

The previous prime is 7568016931. The next prime is 7568016983. The reversal of 7568016960 is 696108657.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 1617184 + ... + 1621856.

Almost surely, 2^7568016960 is an apocalyptic number.

7568016960 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 7568016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13790468736).

7568016960 is an abundant number, since it is smaller than the sum of its proper divisors (20012920512).

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

7568016960 is a wasteful number, since it uses less digits than its factorization.

7568016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4941 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 7568016960 is about 86994.3501613754. The cubic root of 7568016960 is about 1963.3332978465. Note that the first 3 decimals are identical.

The spelling of 7568016960 in words is "seven billion, five hundred sixty-eight million, sixteen thousand, nine hundred sixty".