6452677728 has 240 divisors, whose sum is σ = 21796901280. Its totient is φ = 1834389504.

The previous prime is 6452677727. The next prime is 6452677757. The reversal of 6452677728 is 8277762546.

It is a super-2 number, since 2×6452677728² = 83274099722854483968, which contains 22 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 not an unprimeable number, because it can be changed into a prime (6452677727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4154200 + ... + 4155752.

It is an arithmetic number, because the mean of its divisors is an integer number (90820422).

Almost surely, 2^6452677728 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 6452677728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10898450640).

6452677728 is an abundant number, since it is smaller than the sum of its proper divisors (15344223552).

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

6452677728 is a wasteful number, since it uses less digits than its factorization.

6452677728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1794 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The square root of 6452677728 is about 80328.5610975324. The cubic root of 6452677728 is about 1861.7155451959.

The spelling of 6452677728 in words is "six billion, four hundred fifty-two million, six hundred seventy-seven thousand, seven hundred twenty-eight".