6459946752 has 288 divisors, whose sum is σ = 20309184000. Its totient is φ = 1821990912.

The previous prime is 6459946751. The next prime is 6459946771. The reversal of 6459946752 is 2576499546.

It is a junction number, because it is equal to n+sod(n) for n = 6459946692 and 6459946701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6459946751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36088999 + ... + 36089177.

It is an arithmetic number, because the mean of its divisors is an integer number (70518000).

Almost surely, 2^6459946752 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 6459946752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10154592000).

6459946752 is an abundant number, since it is smaller than the sum of its proper divisors (13849237248).

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

6459946752 is a wasteful number, since it uses less digits than its factorization.

6459946752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 328 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 57.

The square root of 6459946752 is about 80373.7939380741. The cubic root of 6459946752 is about 1862.4143649770.

The spelling of 6459946752 in words is "six billion, four hundred fifty-nine million, nine hundred forty-six thousand, seven hundred fifty-two".