7466723280 has 120 divisors (see below), whose sum is σ = 25181245440. Its totient is φ = 1982749440.

The previous prime is 7466723273. The next prime is 7466723287. The reversal of 7466723280 is 823276647.

It is an interprime number because it is at equal distance from previous prime (7466723273) and next prime (7466723287).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7466723287) 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 23 ways as a sum of consecutive naturals, for example, 150385 + ... + 193775.

It is an arithmetic number, because the mean of its divisors is an integer number (209843712).

Almost surely, 2^7466723280 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 7466723280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12590622720).

7466723280 is an abundant number, since it is smaller than the sum of its proper divisors (17714522160).

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

7466723280 is a wasteful number, since it uses less digits than its factorization.

7466723280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43649 (or 43640 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 7466723280 is about 86410.2035641625. The cubic root of 7466723280 is about 1954.5345516661.

The spelling of 7466723280 in words is "seven billion, four hundred sixty-six million, seven hundred twenty-three thousand, two hundred eighty".