6158028240 has 720 divisors, whose sum is σ = 26850864768. Its totient is φ = 1277254656.

The previous prime is 6158028209. The next prime is 6158028241. The reversal of 6158028240 is 428208516.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 6158028195 and 6158028204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6158028241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 104373331 + ... + 104373389.

Almost surely, 2^6158028240 is an apocalyptic number.

6158028240 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 6158028240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13425432384).

6158028240 is an abundant number, since it is smaller than the sum of its proper divisors (20692836528).

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

6158028240 is a wasteful number, since it uses less digits than its factorization.

6158028240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 6158028240 is about 78473.1052017186. The cubic root of 6158028240 is about 1832.9356804397.

The spelling of 6158028240 in words is "six billion, one hundred fifty-eight million, twenty-eight thousand, two hundred forty".