6456253440 has 704 divisors, whose sum is σ = 26411212800. Its totient is φ = 1309409280.

The previous prime is 6456253439. The next prime is 6456253451. The reversal of 6456253440 is 443526546.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43330486 + ... + 43330634.

Almost surely, 2^6456253440 is an apocalyptic number.

6456253440 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 6456253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13205606400).

6456253440 is an abundant number, since it is smaller than the sum of its proper divisors (19954959360).

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

6456253440 is a wasteful number, since it uses less digits than its factorization.

6456253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The square root of 6456253440 is about 80350.8148060740. The cubic root of 6456253440 is about 1862.0593677988.

Adding to 6456253440 its reverse (443526546), we get a palindrome (6899779986).

The spelling of 6456253440 in words is "six billion, four hundred fifty-six million, two hundred fifty-three thousand, four hundred forty".