6075827982 has 320 divisors, whose sum is σ = 17523247104. Its totient is φ = 1532805120.

The previous prime is 6075827977. The next prime is 6075827993. The reversal of 6075827982 is 2897285706.

It is a happy number.

6075827982 is a `hidden beast` number, since 607 + 5 + 8 + 27 + 9 + 8 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31480878 + ... + 31481070.

Almost surely, 2^6075827982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6075827982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8761623552).

6075827982 is an abundant number, since it is smaller than the sum of its proper divisors (11447419122).

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

6075827982 is a wasteful number, since it uses less digits than its factorization.

6075827982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 6075827982 is about 77947.5976666376. The cubic root of 6075827982 is about 1824.7434912646.

The spelling of 6075827982 in words is "six billion, seventy-five million, eight hundred twenty-seven thousand, nine hundred eighty-two".