6058640000 has 320 divisors, whose sum is σ = 17844288000. Its totient is φ = 2004480000.

The previous prime is 6058639943. The next prime is 6058640011. The reversal of 6058640000 is 468506.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17359826 + ... + 17360174.

It is an arithmetic number, because the mean of its divisors is an integer number (55763400).

Almost surely, 2^6058640000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6058640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8922144000).

6058640000 is an abundant number, since it is smaller than the sum of its proper divisors (11785648000).

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

6058640000 is an equidigital number, since it uses as much as digits as its factorization.

6058640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 6058640000 is about 77837.2661390417. The cubic root of 6058640000 is about 1823.0211866420.

The spelling of 6058640000 in words is "six billion, fifty-eight million, six hundred forty thousand".