6078480000 has 640 divisors, whose sum is σ = 22432819200. Its totient is φ = 1451520000.

The previous prime is 6078479959. The next prime is 6078480029. The reversal of 6078480000 is 848706.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×6078480000² = 73895838220800000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 141359979 + ... + 141360021.

It is an arithmetic number, because the mean of its divisors is an integer number (35051280).

Almost surely, 2^6078480000 is an apocalyptic number.

6078480000 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 6078480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11216409600).

6078480000 is an abundant number, since it is smaller than the sum of its proper divisors (16354339200).

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

6078480000 is a wasteful number, since it uses less digits than its factorization.

6078480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 6078480000 is about 77964.6073548761. The cubic root of 6078480000 is about 1825.0089447238.

The spelling of 6078480000 in words is "six billion, seventy-eight million, four hundred eighty thousand".