6452712000 has 1008 divisors, whose sum is σ = 28186928640. Its totient is φ = 1403136000.

The previous prime is 6452711989. The next prime is 6452712017. The reversal of 6452712000 is 2172546.

6452712000 is a `hidden beast` number, since 6 + 452 + 7 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 109367971 + ... + 109368029.

Almost surely, 2^6452712000 is an apocalyptic number.

6452712000 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 6452712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14093464320).

6452712000 is an abundant number, since it is smaller than the sum of its proper divisors (21734216640).

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

6452712000 is a wasteful number, since it uses less digits than its factorization.

6452712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 6452712000 is about 80328.7744211251. The cubic root of 6452712000 is about 1861.7188412230.

Adding to 6452712000 its reverse (2172546), we get a palindrome (6454884546).

The spelling of 6452712000 in words is "six billion, four hundred fifty-two million, seven hundred twelve thousand".