826474671540 has 384 divisors, whose sum is σ = 2977469107200. Its totient is φ = 186420787200.

The previous prime is 826474671523. The next prime is 826474671563. The reversal of 826474671540 is 45176474628.

826474671540 is a `hidden beast` number, since 8 + 26 + 4 + 7 + 4 + 6 + 71 + 540 = 666.

It is a super-3 number, since 3×826474671540³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121020846 + ... + 121027674.

It is an arithmetic number, because the mean of its divisors is an integer number (7753825800).

Almost surely, 2^826474671540 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 826474671540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488734553600).

826474671540 is an abundant number, since it is smaller than the sum of its proper divisors (2150994435660).

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

826474671540 is a wasteful number, since it uses less digits than its factorization.

826474671540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7272 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 826474671540 in words is "eight hundred twenty-six billion, four hundred seventy-four million, six hundred seventy-one thousand, five hundred forty".