826240734351360 has 1664 divisors, whose sum is σ = 3112201132830720. Its totient is φ = 207614273126400.

The previous prime is 826240734351349. The next prime is 826240734351413. The reversal of 826240734351360 is 63153437042628.

826240734351360 is a `hidden beast` number, since 8 + 2 + 6 + 2 + 4 + 0 + 73 + 435 + 136 + 0 = 666.

It is a super-2 number, since 2×826240734351360² (a number of 31 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 = 826240734351297 and 826240734351306.

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, 532028804344 + ... + 532028805896.

Almost surely, 2^{826240734351360} is an apocalyptic number.

826240734351360 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 826240734351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556100566415360).

826240734351360 is an abundant number, since it is smaller than the sum of its proper divisors (2285960398479360).

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

826240734351360 is a wasteful number, since it uses less digits than its factorization.

826240734351360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 826240734351360 in words is "eight hundred twenty-six trillion, two hundred forty billion, seven hundred thirty-four million, three hundred fifty-one thousand, three hundred sixty".