6098077440 has 864 divisors, whose sum is σ = 27206948160. Its totient is φ = 1281982464.

The previous prime is 6098077439. The next prime is 6098077459. The reversal of 6098077440 is 447708906.

6098077440 is a `hidden beast` number, since 60 + 9 + 80 + 77 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22014582 + ... + 22014858.

Almost surely, 2^6098077440 is an apocalyptic number.

6098077440 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 6098077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13603474080).

6098077440 is an abundant number, since it is smaller than the sum of its proper divisors (21108870720).

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

6098077440 is a wasteful number, since it uses less digits than its factorization.

6098077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6098077440 is about 78090.1878599354. The cubic root of 6098077440 is about 1826.9681590434.

The spelling of 6098077440 in words is "six billion, ninety-eight million, seventy-seven thousand, four hundred forty".