6368485758480 has 120 divisors (see below), whose sum is σ = 21441371758872. Its totient is φ = 1693985052672.

The previous prime is 6368485758463. The next prime is 6368485758527. The reversal of 6368485758480 is 848575848636.

6368485758480 is a `hidden beast` number, since 6 + 3 + 6 + 8 + 4 + 8 + 575 + 8 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1469293076736 + 4899192681744 = 1212144^2 + 2213412^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×6368485758480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6368485758399 and 6368485758408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10854109 + ... + 11425788.

Almost surely, 2^{6368485758480} is an apocalyptic number.

6368485758480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6368485758480 is an abundant number, since it is smaller than the sum of its proper divisors (15072886000392).

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

6368485758480 is a wasteful number, since it uses less digits than its factorization.

6368485758480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22280313 (or 22280304 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 6368485758480 in words is "six trillion, three hundred sixty-eight billion, four hundred eighty-five million, seven hundred fifty-eight thousand, four hundred eighty".