6364735488 has 384 divisors, whose sum is σ = 20127744000. Its totient is φ = 1984020480.

The previous prime is 6364735471. The next prime is 6364735493. The reversal of 6364735488 is 8845374636.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (11612160) is a multiple of the sum of its prime divisors (162).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80566233 + ... + 80566311.

It is an arithmetic number, because the mean of its divisors is an integer number (52416000).

Almost surely, 2^6364735488 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 6364735488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10063872000).

6364735488 is an abundant number, since it is smaller than the sum of its proper divisors (13763008512).

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

6364735488 is a wasteful number, since it uses less digits than its factorization.

6364735488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 6364735488 is about 79779.2923508350. The cubic root of 6364735488 is about 1853.2191808419.

The spelling of 6364735488 in words is "six billion, three hundred sixty-four million, seven hundred thirty-five thousand, four hundred eighty-eight".