7493568768 has 144 divisors (see below), whose sum is σ = 25325650560. Its totient is φ = 2141005824.

The previous prime is 7493568757. The next prime is 7493568773. The reversal of 7493568768 is 8678653947.

7493568768 is a `hidden beast` number, since 7 + 4 + 9 + 3 + 568 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29055 + ... + 125822.

Almost surely, 2^7493568768 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 7493568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12662825280).

7493568768 is an abundant number, since it is smaller than the sum of its proper divisors (17832081792).

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

7493568768 is a wasteful number, since it uses less digits than its factorization.

7493568768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154909 (or 154889 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The square root of 7493568768 is about 86565.4016798859. The cubic root of 7493568768 is about 1956.8741623176.

The spelling of 7493568768 in words is "seven billion, four hundred ninety-three million, five hundred sixty-eight thousand, seven hundred sixty-eight".