6451564000 has 384 divisors, whose sum is σ = 19461012480. Its totient is φ = 2052864000.

The previous prime is 6451563991. The next prime is 6451564033. The reversal of 6451564000 is 4651546.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35643910 + ... + 35644090.

It is an arithmetic number, because the mean of its divisors is an integer number (50679720).

Almost surely, 2^6451564000 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 6451564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9730506240).

6451564000 is an abundant number, since it is smaller than the sum of its proper divisors (13009448480).

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

6451564000 is a wasteful number, since it uses less digits than its factorization.

6451564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 6451564000 is about 80321.6284695474. The cubic root of 6451564000 is about 1861.6084287335.

The spelling of 6451564000 in words is "six billion, four hundred fifty-one million, five hundred sixty-four thousand".