7168639968 has 576 divisors, whose sum is σ = 26206322688. Its totient is φ = 1881169920.

The previous prime is 7168639963. The next prime is 7168639969. The reversal of 7168639968 is 8699368617.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7168639963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56445921 + ... + 56446047.

It is an arithmetic number, because the mean of its divisors is an integer number (45497088).

Almost surely, 2^7168639968 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 7168639968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13103161344).

7168639968 is an abundant number, since it is smaller than the sum of its proper divisors (19037682720).

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

7168639968 is a wasteful number, since it uses less digits than its factorization.

7168639968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 217 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The square root of 7168639968 is about 84667.8213254599. The cubic root of 7168639968 is about 1928.1711911030.

The spelling of 7168639968 in words is "seven billion, one hundred sixty-eight million, six hundred thirty-nine thousand, nine hundred sixty-eight".