6456453120 has 576 divisors, whose sum is σ = 25596239760. Its totient is φ = 1491075072.

The previous prime is 6456453097. The next prime is 6456453149. The reversal of 6456453120 is 213546546.

6456453120 is a `hidden beast` number, since 6 + 4 + 5 + 645 + 3 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 949625856 + 5506827264 = 30816^2 + 74208^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 20367202 + ... + 20367518.

Almost surely, 2^6456453120 is an apocalyptic number.

6456453120 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 6456453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12798119880).

6456453120 is an abundant number, since it is smaller than the sum of its proper divisors (19139786640).

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

6456453120 is a wasteful number, since it uses less digits than its factorization.

6456453120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 6456453120 is about 80352.0573476498. The cubic root of 6456453120 is about 1862.0785642871.

Adding to 6456453120 its reverse (213546546), we get a palindrome (6669999666).

The spelling of 6456453120 in words is "six billion, four hundred fifty-six million, four hundred fifty-three thousand, one hundred twenty".