7466735360 has 144 divisors (see below), whose sum is σ = 20562607296. Its totient is φ = 2544697344.

The previous prime is 7466735231. The next prime is 7466735369. The reversal of 7466735360 is 635376647.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7466735369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1547672 + ... + 1552488.

It is an arithmetic number, because the mean of its divisors is an integer number (142795884).

Almost surely, 2^7466735360 is an apocalyptic number.

7466735360 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 7466735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281303648).

7466735360 is an abundant number, since it is smaller than the sum of its proper divisors (13095871936).

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

7466735360 is a wasteful number, since it uses less digits than its factorization.

7466735360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 47.

The square root of 7466735360 is about 86410.2734632868. The cubic root of 7466735360 is about 1954.5356057101.

The spelling of 7466735360 in words is "seven billion, four hundred sixty-six million, seven hundred thirty-five thousand, three hundred sixty".