7466738700 has 144 divisors (see below), whose sum is σ = 21863878400. Its totient is φ = 1967328000.

The previous prime is 7466738683. The next prime is 7466738701. The reversal of 7466738700 is 78376647.

It is a self number, because there is not a number n which added to its sum of digits gives 7466738700.

It is not an unprimeable number, because it can be changed into a prime (7466738701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10805355 + ... + 10806045.

Almost surely, 2^7466738700 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 7466738700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10931939200).

7466738700 is an abundant number, since it is smaller than the sum of its proper divisors (14397139700).

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

7466738700 is a wasteful number, since it uses less digits than its factorization.

7466738700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The square root of 7466738700 is about 86410.2927896903. The cubic root of 7466738700 is about 1954.5358971426.

The spelling of 7466738700 in words is "seven billion, four hundred sixty-six million, seven hundred thirty-eight thousand, seven hundred".