6075397440 has 896 divisors, whose sum is σ = 27388108800. Its totient is φ = 1234206720.

The previous prime is 6075397439. The next prime is 6075397441. The reversal of 6075397440 is 447935706.

6075397440 is a `hidden beast` number, since 6 + 0 + 7 + 539 + 74 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6075397439) and next prime (6075397441).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6075397441) 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, 19534885 + ... + 19535195.

Almost surely, 2^6075397440 is an apocalyptic number.

6075397440 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 6075397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13694054400).

6075397440 is an abundant number, since it is smaller than the sum of its proper divisors (21312711360).

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

6075397440 is a wasteful number, since it uses less digits than its factorization.

6075397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 6075397440 is about 77944.8358776898. The cubic root of 6075397440 is about 1824.7003889214.

The spelling of 6075397440 in words is "six billion, seventy-five million, three hundred ninety-seven thousand, four hundred forty".