5827641998976 has 768 divisors, whose sum is σ = 20829890016000. Its totient is φ = 1526148366336.

The previous prime is 5827641998963. The next prime is 5827641999017. The reversal of 5827641998976 is 6798991467285.

5827641998976 is a `hidden beast` number, since 5 + 8 + 27 + 6 + 419 + 98 + 97 + 6 = 666.

It is a super-2 number, since 2×5827641998976² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5827641998895 and 5827641998904.

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, 817452180 + ... + 817459308.

It is an arithmetic number, because the mean of its divisors is an integer number (27122252625).

Almost surely, 2^{5827641998976} is an apocalyptic number.

5827641998976 is a gapful number since it is divisible by the number (56) 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 5827641998976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10414945008000).

5827641998976 is an abundant number, since it is smaller than the sum of its proper divisors (15002248017024).

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

5827641998976 is a wasteful number, since it uses less digits than its factorization.

5827641998976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7329 (or 7314 counting only the distinct ones).

The product of its digits is 3292047360, while the sum is 81.

The spelling of 5827641998976 in words is "five trillion, eight hundred twenty-seven billion, six hundred forty-one million, nine hundred ninety-eight thousand, nine hundred seventy-six".