1268269604640 has 576 divisors, whose sum is σ = 4564146787200. Its totient is φ = 332537094144.

The previous prime is 1268269604639. The next prime is 1268269604737. The reversal of 1268269604640 is 464069628621.

1268269604640 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 26 + 9 + 604 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 589069804 + ... + 589071956.

It is an arithmetic number, because the mean of its divisors is an integer number (7923865950).

Almost surely, 2^{1268269604640} is an apocalyptic number.

1268269604640 is a gapful number since it is divisible by the number (10) 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 1268269604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282073393600).

1268269604640 is an abundant number, since it is smaller than the sum of its proper divisors (3295877182560).

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

1268269604640 is a wasteful number, since it uses less digits than its factorization.

1268269604640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1268269604640 in words is "one trillion, two hundred sixty-eight billion, two hundred sixty-nine million, six hundred four thousand, six hundred forty".