67826626560 has 1456 divisors, whose sum is σ = 309407489280. Its totient is φ = 13854965760.

The previous prime is 67826626477. The next prime is 67826626601. The reversal of 67826626560 is 6562662876.

It is a happy number.

67826626560 is a `hidden beast` number, since 6 + 7 + 8 + 2 + 6 + 626 + 5 + 6 + 0 = 666.

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 = 67826626497 and 67826626506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1149603811 + ... + 1149603869.

Almost surely, 2^67826626560 is an apocalyptic number.

67826626560 is a gapful number since it is divisible by the number (60) 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 67826626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154703744640).

67826626560 is an abundant number, since it is smaller than the sum of its proper divisors (241580862720).

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

67826626560 is an equidigital number, since it uses as much as digits as its factorization.

67826626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 67826626560 in words is "sixty-seven billion, eight hundred twenty-six million, six hundred twenty-six thousand, five hundred sixty".