826546378896 has 320 divisors, whose sum is σ = 2858453237760. Its totient is φ = 223674462720.

The previous prime is 826546378883. The next prime is 826546378901. The reversal of 826546378896 is 698873645628.

826546378896 is a `hidden beast` number, since 8 + 2 + 6 + 5 + 463 + 78 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 4312170 + ... + 4499766.

It is an arithmetic number, because the mean of its divisors is an integer number (8932666368).

Almost surely, 2^826546378896 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 826546378896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429226618880).

826546378896 is an abundant number, since it is smaller than the sum of its proper divisors (2031906858864).

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

826546378896 is a wasteful number, since it uses less digits than its factorization.

826546378896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187699 (or 187687 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 826546378896 in words is "eight hundred twenty-six billion, five hundred forty-six million, three hundred seventy-eight thousand, eight hundred ninety-six".