7466320368 has 160 divisors (see below), whose sum is σ = 23293300800. Its totient is φ = 2276066304.

The previous prime is 7466320363. The next prime is 7466320369. The reversal of 7466320368 is 8630236647.

7466320368 is a `hidden beast` number, since 7 + 4 + 6 + 632 + 0 + 3 + 6 + 8 = 666.

It is a super-2 number, since 2×7466320368² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7466320363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606046 + ... + 618242.

It is an arithmetic number, because the mean of its divisors is an integer number (145583130).

Almost surely, 2^7466320368 is an apocalyptic number.

7466320368 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 7466320368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11646650400).

7466320368 is an abundant number, since it is smaller than the sum of its proper divisors (15826980432).

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

7466320368 is a wasteful number, since it uses less digits than its factorization.

7466320368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12336 (or 12324 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 7466320368 is about 86407.8721413738. The cubic root of 7466320368 is about 1954.4993948081.

The spelling of 7466320368 in words is "seven billion, four hundred sixty-six million, three hundred twenty thousand, three hundred sixty-eight".