6064578000 has 640 divisors, whose sum is σ = 23983464960. Its totient is φ = 1455667200.

The previous prime is 6064577999. The next prime is 6064578043. The reversal of 6064578000 is 8754606.

It is a happy number.

6064578000 is a `hidden beast` number, since 6 + 0 + 645 + 7 + 8 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37205919 + ... + 37206081.

It is an arithmetic number, because the mean of its divisors is an integer number (37474164).

Almost surely, 2^6064578000 is an apocalyptic number.

6064578000 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 6064578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11991732480).

6064578000 is an abundant number, since it is smaller than the sum of its proper divisors (17918886960).

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

6064578000 is a wasteful number, since it uses less digits than its factorization.

6064578000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6064578000 is about 77875.4004805112. The cubic root of 6064578000 is about 1823.6165658698.

The spelling of 6064578000 in words is "six billion, sixty-four million, five hundred seventy-eight thousand".