6363408864 has 96 divisors (see below), whose sum is σ = 17781120000. Its totient is φ = 1986868224.

The previous prime is 6363408853. The next prime is 6363408869. The reversal of 6363408864 is 4688043636.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6363408869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142737 + ... + 181935.

It is an arithmetic number, because the mean of its divisors is an integer number (185220000).

Almost surely, 2^6363408864 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 6363408864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8890560000).

6363408864 is an abundant number, since it is smaller than the sum of its proper divisors (11417711136).

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

6363408864 is a wasteful number, since it uses less digits than its factorization.

6363408864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39320 (or 39312 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The square root of 6363408864 is about 79770.9775795684. The cubic root of 6363408864 is about 1853.0904142508.

The spelling of 6363408864 in words is "six billion, three hundred sixty-three million, four hundred eight thousand, eight hundred sixty-four".