6078510708480 has 2304 divisors, whose sum is σ = 26900520837120. Its totient is φ = 1284211998720.

The previous prime is 6078510708469. The next prime is 6078510708499. The reversal of 6078510708480 is 848070158706.

It is a happy number.

6078510708480 is a `hidden beast` number, since 6 + 0 + 7 + 85 + 10 + 70 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23651792512 + ... + 23651792768.

It is an arithmetic number, because the mean of its divisors is an integer number (11675573280).

Almost surely, 2^{6078510708480} is an apocalyptic number.

6078510708480 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 6078510708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13450260418560).

6078510708480 is an abundant number, since it is smaller than the sum of its proper divisors (20822010128640).

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

6078510708480 is an equidigital number, since it uses as much as digits as its factorization.

6078510708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 6078510708480 in words is "six trillion, seventy-eight billion, five hundred ten million, seven hundred eight thousand, four hundred eighty".