6064002000 has 960 divisors, whose sum is σ = 27158976000. Its totient is φ = 1227571200.

The previous prime is 6064001987. The next prime is 6064002013. The reversal of 6064002000 is 2004606.

6064002000 is a `hidden beast` number, since 6 + 0 + 640 + 0 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6064001987) and next prime (6064002013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40697926 + ... + 40698074.

It is an arithmetic number, because the mean of its divisors is an integer number (28290600).

Almost surely, 2^6064002000 is an apocalyptic number.

6064002000 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 6064002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13579488000).

6064002000 is an abundant number, since it is smaller than the sum of its proper divisors (21094974000).

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

6064002000 is a wasteful number, since it uses less digits than its factorization.

6064002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6064002000 is about 77871.7021773635. The cubic root of 6064002000 is about 1823.5588297064.

Adding to 6064002000 its reverse (2004606), we get a palindrome (6066006606).

It can be divided in two parts, 606400 and 2000, that added together give a square (608400 = 780²).

The spelling of 6064002000 in words is "six billion, sixty-four million, two thousand", and thus it is an eban number.