6452658720 has 384 divisors, whose sum is σ = 24507463680. Its totient is φ = 1579253760.

The previous prime is 6452658701. The next prime is 6452658727. The reversal of 6452658720 is 278562546.

6452658720 is a `hidden beast` number, since 6 + 4 + 526 + 58 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6452658727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3009969 + ... + 3012111.

It is an arithmetic number, because the mean of its divisors is an integer number (63821520).

Almost surely, 2^6452658720 is an apocalyptic number.

6452658720 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 6452658720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12253731840).

6452658720 is an abundant number, since it is smaller than the sum of its proper divisors (18054804960).

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

6452658720 is a wasteful number, since it uses less digits than its factorization.

6452658720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 6452658720 is about 80328.4427833629. The cubic root of 6452658720 is about 1861.7137171422.

The spelling of 6452658720 in words is "six billion, four hundred fifty-two million, six hundred fifty-eight thousand, seven hundred twenty".