7164129280 has 468 divisors, whose sum is σ = 22354549560. Its totient is φ = 2195128320.

The previous prime is 7164129277. The next prime is 7164129281. The reversal of 7164129280 is 829214617.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7164129281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121425891 + ... + 121425949.

Almost surely, 2^7164129280 is an apocalyptic number.

7164129280 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 7164129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11177274780).

7164129280 is an abundant number, since it is smaller than the sum of its proper divisors (15190420280).

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

7164129280 is a wasteful number, since it uses less digits than its factorization.

7164129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 7164129280 is about 84641.1795759015. The cubic root of 7164129280 is about 1927.7666883645.

The spelling of 7164129280 in words is "seven billion, one hundred sixty-four million, one hundred twenty-nine thousand, two hundred eighty".