1267059989664 has 576 divisors, whose sum is σ = 4438167552000. Its totient is φ = 342054332928.

The previous prime is 1267059989653. The next prime is 1267059989677. The reversal of 1267059989664 is 4669899507621.

1267059989664 is a `hidden beast` number, since 1 + 26 + 7 + 0 + 599 + 8 + 9 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1267059989592 and 1267059989601.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188575297 + ... + 188582015.

It is an arithmetic number, because the mean of its divisors is an integer number (7705152000).

Almost surely, 2^{1267059989664} is an apocalyptic number.

1267059989664 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 1267059989664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219083776000).

1267059989664 is an abundant number, since it is smaller than the sum of its proper divisors (3171107562336).

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

1267059989664 is a wasteful number, since it uses less digits than its factorization.

1267059989664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6862 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 1267059989664 in words is "one trillion, two hundred sixty-seven billion, fifty-nine million, nine hundred eighty-nine thousand, six hundred sixty-four".