7164665280 has 168 divisors, whose sum is σ = 24888468384. Its totient is φ = 1891584000.

The previous prime is 7164665279. The next prime is 7164665303. The reversal of 7164665280 is 825664617.

7164665280 is a `hidden beast` number, since 7 + 1 + 64 + 66 + 528 + 0 = 666.

It is a super-3 number, since 3×7164665280³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278565 + ... + 303195.

Almost surely, 2^7164665280 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 7164665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12444234192).

7164665280 is an abundant number, since it is smaller than the sum of its proper divisors (17723803104).

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

7164665280 is a wasteful number, since it uses less digits than its factorization.

7164665280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24755 (or 24742 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7164665280 is about 84644.3458241600. The cubic root of 7164665280 is about 1927.8147638592.

The spelling of 7164665280 in words is "seven billion, one hundred sixty-four million, six hundred sixty-five thousand, two hundred eighty".