826354421760 has 832 divisors, whose sum is σ = 3181075107840. Its totient is φ = 179070566400.

The previous prime is 826354421749. The next prime is 826354421773. The reversal of 826354421760 is 67124453628.

It is a super-2 number, since 2×826354421760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1374965460 + ... + 1374966060.

Almost surely, 2^826354421760 is an apocalyptic number.

826354421760 is a gapful number since it is divisible by the number (80) 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 826354421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590537553920).

826354421760 is an abundant number, since it is smaller than the sum of its proper divisors (2354720686080).

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

826354421760 is a wasteful number, since it uses less digits than its factorization.

826354421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 826354421760 in words is "eight hundred twenty-six billion, three hundred fifty-four million, four hundred twenty-one thousand, seven hundred sixty".