7466968797288 has 1152 divisors, whose sum is σ = 28651595011200. Its totient is φ = 1596161064960.

The previous prime is 7466968797283. The next prime is 7466968797311. The reversal of 7466968797288 is 8827978696647.

It is not an unprimeable number, because it can be changed into a prime (7466968797283) 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 287 ways as a sum of consecutive naturals, for example, 597494656 + ... + 597507152.

It is an arithmetic number, because the mean of its divisors is an integer number (24871176225).

Almost surely, 2^{7466968797288} is an apocalyptic number.

7466968797288 is a gapful number since it is divisible by the number (78) 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 7466968797288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14325797505600).

7466968797288 is an abundant number, since it is smaller than the sum of its proper divisors (21184626213912).

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

7466968797288 is a wasteful number, since it uses less digits than its factorization.

7466968797288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12591 (or 12569 counting only the distinct ones).

The product of its digits is 24580620288, while the sum is 87.

The spelling of 7466968797288 in words is "seven trillion, four hundred sixty-six billion, nine hundred sixty-eight million, seven hundred ninety-seven thousand, two hundred eighty-eight".