6115044624480 has 720 divisors, whose sum is σ = 24969887213040. Its totient is φ = 1404405319680.

The previous prime is 6115044624443. The next prime is 6115044624487. The reversal of 6115044624480 is 844264405116.

6115044624480 is a `hidden beast` number, since 6 + 1 + 1 + 504 + 4 + 62 + 4 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6115044624487) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29692422 + ... + 29897658.

It is an arithmetic number, because the mean of its divisors is an integer number (34680398907).

Almost surely, 2^{6115044624480} is an apocalyptic number.

6115044624480 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 6115044624480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484943606520).

6115044624480 is an abundant number, since it is smaller than the sum of its proper divisors (18854842588560).

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

6115044624480 is a wasteful number, since it uses less digits than its factorization.

6115044624480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205305 (or 205277 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 6115044624480 in words is "six trillion, one hundred fifteen billion, forty-four million, six hundred twenty-four thousand, four hundred eighty".