6456732549120 has 1104 divisors, whose sum is σ = 26674964953728. Its totient is φ = 1467670855680.

The previous prime is 6456732549083. The next prime is 6456732549133. The reversal of 6456732549120 is 219452376546.

It is a happy number.

6456732549120 is a `hidden beast` number, since 6 + 4 + 5 + 6 + 73 + 2 + 549 + 1 + 20 = 666.

It is a super-3 number, since 3×6456732549120³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 35672555430 + ... + 35672555610.

Almost surely, 2^{6456732549120} is an apocalyptic number.

6456732549120 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 6456732549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13337482476864).

6456732549120 is an abundant number, since it is smaller than the sum of its proper divisors (20218232404608).

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

6456732549120 is an frugal number, since it uses more digits than its factorization.

6456732549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 6456732549120 in words is "six trillion, four hundred fifty-six billion, seven hundred thirty-two million, five hundred forty-nine thousand, one hundred twenty".