6075795280896 has 704 divisors, whose sum is σ = 20343551078400. Its totient is φ = 1775267020800.

The previous prime is 6075795280889. The next prime is 6075795280901. The reversal of 6075795280896 is 6980825975706.

6075795280896 is a `hidden beast` number, since 6 + 0 + 7 + 5 + 7 + 9 + 528 + 0 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1033119876 + ... + 1033125756.

It is an arithmetic number, because the mean of its divisors is an integer number (28897089600).

Almost surely, 2^{6075795280896} is an apocalyptic number.

6075795280896 is a gapful number since it is divisible by the number (66) 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 6075795280896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10171775539200).

6075795280896 is an abundant number, since it is smaller than the sum of its proper divisors (14267755797504).

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

6075795280896 is a wasteful number, since it uses less digits than its factorization.

6075795280896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6043 (or 6019 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 6075795280896 in words is "six trillion, seventy-five billion, seven hundred ninety-five million, two hundred eighty thousand, eight hundred ninety-six".