826641484560 has 320 divisors, whose sum is σ = 3036518150400. Its totient is φ = 205976936448.

The previous prime is 826641484519. The next prime is 826641484573. The reversal of 826641484560 is 65484146628.

826641484560 is a `hidden beast` number, since 8 + 2 + 6 + 64 + 14 + 8 + 4 + 560 = 666.

It is a super-2 number, since 2×826641484560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 826641484497 and 826641484506.

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, 5023102 + ... + 5185058.

It is an arithmetic number, because the mean of its divisors is an integer number (9489119220).

Almost surely, 2^826641484560 is an apocalyptic number.

826641484560 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 826641484560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518259075200).

826641484560 is an abundant number, since it is smaller than the sum of its proper divisors (2209876665840).

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

826641484560 is a wasteful number, since it uses less digits than its factorization.

826641484560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162135 (or 162123 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 826641484560 in words is "eight hundred twenty-six billion, six hundred forty-one million, four hundred eighty-four thousand, five hundred sixty".