6015984480 has 576 divisors, whose sum is σ = 24541755840. Its totient is φ = 1370603520.

The previous prime is 6015984479. The next prime is 6015984493. The reversal of 6015984480 is 844895106.

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 95 ways as a sum of consecutive naturals, for example, 8885902 + ... + 8886578.

It is an arithmetic number, because the mean of its divisors is an integer number (42607215).

Almost surely, 2^6015984480 is an apocalyptic number.

6015984480 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 6015984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12270877920).

6015984480 is an abundant number, since it is smaller than the sum of its proper divisors (18525771360).

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

6015984480 is a wasteful number, since it uses less digits than its factorization.

6015984480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 6015984480 is about 77562.7776707359. Note that the first 3 decimals coincide. The cubic root of 6015984480 is about 1818.7328135266.

The spelling of 6015984480 in words is "six billion, fifteen million, nine hundred eighty-four thousand, four hundred eighty".