6826819753488 has 240 divisors, whose sum is σ = 21307031310336. Its totient is φ = 1876016298240.

The previous prime is 6826819753399. The next prime is 6826819753511. The reversal of 6826819753488 is 8843579186286.

It is a super-2 number, since 2×6826819753488² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11597445 + ... + 12171867.

Almost surely, 2^{6826819753488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6826819753488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10653515655168).

6826819753488 is an abundant number, since it is smaller than the sum of its proper divisors (14480211556848).

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

6826819753488 is a wasteful number, since it uses less digits than its factorization.

6826819753488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574642 (or 574629 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 75.

The spelling of 6826819753488 in words is "six trillion, eight hundred twenty-six billion, eight hundred nineteen million, seven hundred fifty-three thousand, four hundred eighty-eight".