6457144320 has 264 divisors, whose sum is σ = 24409738080. Its totient is φ = 1565245440.

The previous prime is 6457144313. The next prime is 6457144387. The reversal of 6457144320 is 234417546.

6457144320 is a `hidden beast` number, since 64 + 571 + 4 + 4 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-3 number, since 3×6457144320³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 500511 + ... + 513249.

Almost surely, 2^6457144320 is an apocalyptic number.

6457144320 is a gapful number since it is divisible by the number (60) 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 6457144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12204869040).

6457144320 is an abundant number, since it is smaller than the sum of its proper divisors (17952593760).

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

6457144320 is a wasteful number, since it uses less digits than its factorization.

6457144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12781 (or 12760 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 6457144320 is about 80356.3583047415. The cubic root of 6457144320 is about 1862.1450106137.

The spelling of 6457144320 in words is "six billion, four hundred fifty-seven million, one hundred forty-four thousand, three hundred twenty".