1264426136064 has 480 divisors, whose sum is σ = 4631880147840. Its totient is φ = 333470711808.

The previous prime is 1264426136021. The next prime is 1264426136069. The reversal of 1264426136064 is 4606316244621.

1264426136064 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 4 + 26 + 13 + 606 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (1264426136069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16315134 + ... + 16392450.

It is an arithmetic number, because the mean of its divisors is an integer number (9649750308).

Almost surely, 2^{1264426136064} is an apocalyptic number.

1264426136064 is a gapful number since it is divisible by the number (14) 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 1264426136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315940073920).

1264426136064 is an abundant number, since it is smaller than the sum of its proper divisors (3367454011776).

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

1264426136064 is an equidigital number, since it uses as much as digits as its factorization.

1264426136064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77377 (or 77342 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 1264426136064 in words is "one trillion, two hundred sixty-four billion, four hundred twenty-six million, one hundred thirty-six thousand, sixty-four".