7144308864 has 768 divisors, whose sum is σ = 28157875200. Its totient is φ = 1746800640.

The previous prime is 7144308827. The next prime is 7144308889. The reversal of 7144308864 is 4688034417.

7144308864 is a `hidden beast` number, since 71 + 443 + 0 + 88 + 64 = 666.

It is a super-2 number, since 2×7144308864² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45505074 + ... + 45505230.

It is an arithmetic number, because the mean of its divisors is an integer number (36663900).

Almost surely, 2^7144308864 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 7144308864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14078937600).

7144308864 is an abundant number, since it is smaller than the sum of its proper divisors (21013566336).

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

7144308864 is a wasteful number, since it uses less digits than its factorization.

7144308864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 7144308864 is about 84524.0135346163. The cubic root of 7144308864 is about 1925.9872477101.

The spelling of 7144308864 in words is "seven billion, one hundred forty-four million, three hundred eight thousand, eight hundred sixty-four".