6078528000 has 480 divisors, whose sum is σ = 22381259472. Its totient is φ = 1585152000.

The previous prime is 6078527981. The next prime is 6078528037. The reversal of 6078528000 is 8258706.

6078528000 is a `hidden beast` number, since 60 + 78 + 528 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 84052224 + 5994475776 = 9168^2 + 77424^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35135914 + ... + 35136086.

Almost surely, 2^6078528000 is an apocalyptic number.

6078528000 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 6078528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11190629736).

6078528000 is an abundant number, since it is smaller than the sum of its proper divisors (16302731472).

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

6078528000 is a wasteful number, since it uses less digits than its factorization.

6078528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 6078528000 is about 77964.9151862554. The cubic root of 6078528000 is about 1825.0137485672.

The spelling of 6078528000 in words is "six billion, seventy-eight million, five hundred twenty-eight thousand".