7466180020 has 72 divisors (see below), whose sum is σ = 17976662424. Its totient is φ = 2594562048.

The previous prime is 7466179997. The next prime is 7466180021. The reversal of 7466180020 is 200816647.

It can be written as a sum of positive squares in 12 ways, for example, as 3738833316 + 3727346704 = 61146^2 + 61052^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7466180021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7509 + ... + 122428.

It is an arithmetic number, because the mean of its divisors is an integer number (249675867).

Almost surely, 2^7466180020 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 7466180020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8988331212).

7466180020 is an abundant number, since it is smaller than the sum of its proper divisors (10510482404).

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

7466180020 is a wasteful number, since it uses less digits than its factorization.

7466180020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129989 (or 129974 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 7466180020 is about 86407.0600124781. The cubic root of 7466180020 is about 1954.4871481776.

Adding to 7466180020 its reverse (200816647), we get a palindrome (7666996667).

The spelling of 7466180020 in words is "seven billion, four hundred sixty-six million, one hundred eighty thousand, twenty".