1266980734656 has 504 divisors, whose sum is σ = 4514534129664. Its totient is φ = 332636129280.

The previous prime is 1266980734651. The next prime is 1266980734681. The reversal of 1266980734656 is 6564370896621.

1266980734656 is a `hidden beast` number, since 1 + 26 + 6 + 9 + 80 + 73 + 465 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1266980734593 and 1266980734602.

It is not an unprimeable number, because it can be changed into a prime (1266980734651) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 154675521 + ... + 154683711.

It is a 1-persistent number, because it is pandigital, but 2⋅1266980734656 = 2533961469312 is not.

Almost surely, 2^{1266980734656} is an apocalyptic number.

1266980734656 is a gapful number since it is divisible by the number (16) 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 1266980734656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257267064832).

1266980734656 is an abundant number, since it is smaller than the sum of its proper divisors (3247553395008).

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

1266980734656 is a wasteful number, since it uses less digits than its factorization.

1266980734656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8469 (or 8443 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 1266980734656 in words is "one trillion, two hundred sixty-six billion, nine hundred eighty million, seven hundred thirty-four thousand, six hundred fifty-six".