6201636480 has 512 divisors, whose sum is σ = 24915744000. Its totient is φ = 1445216256.

The previous prime is 6201636479. The next prime is 6201636481. The reversal of 6201636480 is 846361026.

6201636480 is a `hidden beast` number, since 6 + 2 + 0 + 1 + 6 + 3 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6201636479) and next prime (6201636481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6201636481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4267434 + ... + 4268886.

Almost surely, 2^6201636480 is an apocalyptic number.

6201636480 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 6201636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12457872000).

6201636480 is an abundant number, since it is smaller than the sum of its proper divisors (18714107520).

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

6201636480 is a wasteful number, since it uses less digits than its factorization.

6201636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6201636480 is about 78750.4697128849. The cubic root of 6201636480 is about 1837.2521681580.

The spelling of 6201636480 in words is "six billion, two hundred one million, six hundred thirty-six thousand, four hundred eighty".