6099405840 has 640 divisors, whose sum is σ = 24641280000. Its totient is φ = 1371064320.

The previous prime is 6099405833. The next prime is 6099405841. The reversal of 6099405840 is 485049906.

It is a happy number.

6099405840 is a `hidden beast` number, since 60 + 9 + 9 + 4 + 0 + 584 + 0 = 666.

It is a super-2 number, since 2×6099405840² = 74405503202052211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6099405841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26634846 + ... + 26635074.

It is an arithmetic number, because the mean of its divisors is an integer number (38502000).

Almost surely, 2^6099405840 is an apocalyptic number.

6099405840 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 6099405840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12320640000).

6099405840 is an abundant number, since it is smaller than the sum of its proper divisors (18541874160).

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

6099405840 is a wasteful number, since it uses less digits than its factorization.

6099405840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6099405840 is about 78098.6929468093. The cubic root of 6099405840 is about 1827.1008111413.

The spelling of 6099405840 in words is "six billion, ninety-nine million, four hundred five thousand, eight hundred forty".