6359316480 has 960 divisors, whose sum is σ = 26970783840. Its totient is φ = 1415577600.

The previous prime is 6359316479. The next prime is 6359316527. The reversal of 6359316480 is 846139536.

6359316480 is a `hidden beast` number, since 6 + 3 + 593 + 16 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 155105260 + ... + 155105300.

Almost surely, 2^6359316480 is an apocalyptic number.

6359316480 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 6359316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13485391920).

6359316480 is an abundant number, since it is smaller than the sum of its proper divisors (20611467360).

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

6359316480 is a wasteful number, since it uses less digits than its factorization.

6359316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6359316480 is about 79745.3226214554. The cubic root of 6359316480 is about 1852.6930808929.

It can be divided in two parts, 635931 and 6480, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 6359316480 in words is "six billion, three hundred fifty-nine million, three hundred sixteen thousand, four hundred eighty".