7144971264 has 264 divisors, whose sum is σ = 21612389760. Its totient is φ = 2270822400.

The previous prime is 7144971263. The next prime is 7144971277. The reversal of 7144971264 is 4621794417.

It is a super-2 number, since 2×7144971264² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7144971263) 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, 25426804 + ... + 25427084.

Almost surely, 2^7144971264 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 7144971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10806194880).

7144971264 is an abundant number, since it is smaller than the sum of its proper divisors (14467418496).

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

7144971264 is a wasteful number, since it uses less digits than its factorization.

7144971264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 406 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7144971264 is about 84527.9318568720. The cubic root of 7144971264 is about 1926.0467698907.

The spelling of 7144971264 in words is "seven billion, one hundred forty-four million, nine hundred seventy-one thousand, two hundred sixty-four".