6360288480 has 480 divisors, whose sum is σ = 27631606464. Its totient is φ = 1341702144.

The previous prime is 6360288461. The next prime is 6360288533. The reversal of 6360288480 is 848820636.

It is a happy number.

6360288480 is a `hidden beast` number, since 6 + 360 + 288 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 1176664 + ... + 1182056.

Almost surely, 2^6360288480 is an apocalyptic number.

6360288480 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 6360288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13815803232).

6360288480 is an abundant number, since it is smaller than the sum of its proper divisors (21271317984).

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

6360288480 is a wasteful number, since it uses less digits than its factorization.

6360288480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5440 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6360288480 is about 79751.4167899229. The cubic root of 6360288480 is about 1852.7874687064.

The spelling of 6360288480 in words is "six billion, three hundred sixty million, two hundred eighty-eight thousand, four hundred eighty".