6158893440 has 256 divisors, whose sum is σ = 22959889920. Its totient is φ = 1374879744.

The previous prime is 6158893421. The next prime is 6158893451. The reversal of 6158893440 is 443988516.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6158893440.

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 31 ways as a sum of consecutive naturals, for example, 572592 + ... + 583248.

It is an arithmetic number, because the mean of its divisors is an integer number (89687070).

Almost surely, 2^6158893440 is an apocalyptic number.

6158893440 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 6158893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11479944960).

6158893440 is an abundant number, since it is smaller than the sum of its proper divisors (16800996480).

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

6158893440 is a wasteful number, since it uses less digits than its factorization.

6158893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10729 (or 10717 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 6158893440 is about 78478.6177248300. The cubic root of 6158893440 is about 1833.0215186130.

The spelling of 6158893440 in words is "six billion, one hundred fifty-eight million, eight hundred ninety-three thousand, four hundred forty".