6464757600 has 864 divisors, whose sum is σ = 28240692480. Its totient is φ = 1358622720.

The previous prime is 6464757599. The next prime is 6464757631. The reversal of 6464757600 is 67574646.

It is a happy number.

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

It is a congruent number.

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, 41176722 + ... + 41176878.

Almost surely, 2^6464757600 is an apocalyptic number.

6464757600 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 6464757600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14120346240).

6464757600 is an abundant number, since it is smaller than the sum of its proper divisors (21775934880).

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

6464757600 is a wasteful number, since it uses less digits than its factorization.

6464757600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 6464757600 is about 80403.7163320204. The cubic root of 6464757600 is about 1862.8765756582.

The spelling of 6464757600 in words is "six billion, four hundred sixty-four million, seven hundred fifty-seven thousand, six hundred".