6613012560 has 640 divisors, whose sum is σ = 26712576000. Its totient is φ = 1341204480.

The previous prime is 6613012517. The next prime is 6613012573. The reversal of 6613012560 is 652103166.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60669786 + ... + 60669894.

It is an arithmetic number, because the mean of its divisors is an integer number (41738400).

Almost surely, 2^6613012560 is an apocalyptic number.

6613012560 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 6613012560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13356288000).

6613012560 is an abundant number, since it is smaller than the sum of its proper divisors (20099563440).

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

6613012560 is a wasteful number, since it uses less digits than its factorization.

6613012560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 6613012560 is about 81320.4313810496. The cubic root of 6613012560 is about 1877.0094070263.

The spelling of 6613012560 in words is "six billion, six hundred thirteen million, twelve thousand, five hundred sixty".