6449364000 has 288 divisors, whose sum is σ = 23631229440. Its totient is φ = 1664064000.

The previous prime is 6449363983. The next prime is 6449364029. The reversal of 6449364000 is 4639446.

6449364000 is a `hidden beast` number, since 6 + 4 + 4 + 9 + 3 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1113111 + ... + 1118889.

It is an arithmetic number, because the mean of its divisors is an integer number (82052880).

Almost surely, 2^6449364000 is an apocalyptic number.

6449364000 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 6449364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11815614720).

6449364000 is an abundant number, since it is smaller than the sum of its proper divisors (17181865440).

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

6449364000 is a wasteful number, since it uses less digits than its factorization.

6449364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 6449364000 is about 80307.9323603839. The cubic root of 6449364000 is about 1861.3968002477.

The spelling of 6449364000 in words is "six billion, four hundred forty-nine million, three hundred sixty-four thousand".