6464136000 has 448 divisors, whose sum is σ = 24687336960. Its totient is φ = 1459814400.

The previous prime is 6464135983. The next prime is 6464136001. The reversal of 6464136000 is 6314646.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6464136001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18311824 + ... + 18312176.

Almost surely, 2^6464136000 is an apocalyptic number.

6464136000 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 6464136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12343668480).

6464136000 is an abundant number, since it is smaller than the sum of its proper divisors (18223200960).

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

6464136000 is a wasteful number, since it uses less digits than its factorization.

6464136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 6464136000 is about 80399.8507461301. The cubic root of 6464136000 is about 1862.8168672480.

The spelling of 6464136000 in words is "six billion, four hundred sixty-four million, one hundred thirty-six thousand".