6452919000 has 256 divisors, whose sum is σ = 24404889600. Its totient is φ = 1564272000.

The previous prime is 6452918981. The next prime is 6452919019. The reversal of 6452919000 is 9192546.

6452919000 is a `hidden beast` number, since 645 + 2 + 9 + 1 + 9 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6452918981) and next prime (6452919019).

It is a super-2 number, since 2×6452919000² = 83280327241122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286137 + ... + 307863.

It is an arithmetic number, because the mean of its divisors is an integer number (95331600).

Almost surely, 2^6452919000 is an apocalyptic number.

6452919000 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 6452919000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12202444800).

6452919000 is an abundant number, since it is smaller than the sum of its proper divisors (17951970600).

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

6452919000 is a wasteful number, since it uses less digits than its factorization.

6452919000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21768 (or 21748 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 6452919000 is about 80330.0628656545. The cubic root of 6452919000 is about 1861.7387487017.

The spelling of 6452919000 in words is "six billion, four hundred fifty-two million, nine hundred nineteen thousand".