826402877664 has 288 divisors, whose sum is σ = 2771198244864. Its totient is φ = 210920785920.

The previous prime is 826402877659. The next prime is 826402877669. The reversal of 826402877664 is 466778204628.

It is an interprime number because it is at equal distance from previous prime (826402877659) and next prime (826402877669).

It is a super-2 number, since 2×826402877664² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 826402877598 and 826402877607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826402877669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3403242 + ... + 3637974.

It is an arithmetic number, because the mean of its divisors is an integer number (9622216128).

Almost surely, 2^826402877664 is an apocalyptic number.

826402877664 is a gapful number since it is divisible by the number (84) 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 826402877664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385599122432).

826402877664 is an abundant number, since it is smaller than the sum of its proper divisors (1944795367200).

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

826402877664 is a wasteful number, since it uses less digits than its factorization.

826402877664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234810 (or 234789 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 60.

The spelling of 826402877664 in words is "eight hundred twenty-six billion, four hundred two million, eight hundred seventy-seven thousand, six hundred sixty-four".