67226350464000 has 6336 divisors, whose sum is σ = 327765685852800. Its totient is φ = 13694917017600.

The previous prime is 67226350463999. The next prime is 67226350464041. The reversal of 67226350464000 is 46405362276.

67226350464000 is a `hidden beast` number, since 6 + 7 + 2 + 2 + 635 + 0 + 4 + 6 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2318150015986 + ... + 2318150016014.

Almost surely, 2^{67226350464000} is an apocalyptic number.

67226350464000 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 67226350464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163882842926400).

67226350464000 is an abundant number, since it is smaller than the sum of its proper divisors (260539335388800).

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

67226350464000 is an equidigital number, since it uses as much as digits as its factorization.

67226350464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 67226350464000 in words is "sixty-seven trillion, two hundred twenty-six billion, three hundred fifty million, four hundred sixty-four thousand".