6025410078480 has 640 divisors, whose sum is σ = 22997743050240. Its totient is φ = 1440388915200.

The previous prime is 6025410078449. The next prime is 6025410078487. The reversal of 6025410078480 is 848700145206.

6025410078480 is a `hidden beast` number, since 60 + 2 + 5 + 4 + 100 + 7 + 8 + 480 = 666.

It is a super-2 number, since 2×6025410078480² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6025410078487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 584929330 + ... + 584939630.

It is an arithmetic number, because the mean of its divisors is an integer number (35933973516).

Almost surely, 2^{6025410078480} is an apocalyptic number.

6025410078480 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 6025410078480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11498871525120).

6025410078480 is an abundant number, since it is smaller than the sum of its proper divisors (16972332971760).

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

6025410078480 is a wasteful number, since it uses less digits than its factorization.

6025410078480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10936 (or 10924 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 6025410078480 in words is "six trillion, twenty-five billion, four hundred ten million, seventy-eight thousand, four hundred eighty".