6364350720 has 648 divisors, whose sum is σ = 27308788416. Its totient is φ = 1339932672.

The previous prime is 6364350697. The next prime is 6364350743. The reversal of 6364350720 is 270534636.

6364350720 is a `hidden beast` number, since 6 + 3 + 643 + 5 + 0 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6364350697) and next prime (6364350743).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13627927 + ... + 13628393.

It is an arithmetic number, because the mean of its divisors is an integer number (42143192).

Almost surely, 2^6364350720 is an apocalyptic number.

6364350720 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 6364350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13654394208).

6364350720 is an abundant number, since it is smaller than the sum of its proper divisors (20944437696).

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

6364350720 is a wasteful number, since it uses less digits than its factorization.

6364350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 6364350720 is about 79776.8808615629. The cubic root of 6364350720 is about 1853.1818358069.

The spelling of 6364350720 in words is "six billion, three hundred sixty-four million, three hundred fifty thousand, seven hundred twenty".