1268782494720 has 352 divisors, whose sum is σ = 4435559603328. Its totient is φ = 307651018752.

The previous prime is 1268782494671. The next prime is 1268782494737. The reversal of 1268782494720 is 274942878621.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13331142 + ... + 13425978.

Almost surely, 2^{1268782494720} is an apocalyptic number.

1268782494720 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 1268782494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217779801664).

1268782494720 is an abundant number, since it is smaller than the sum of its proper divisors (3166777108608).

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

1268782494720 is a wasteful number, since it uses less digits than its factorization.

1268782494720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94945 (or 94927 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 1268782494720 in words is "one trillion, two hundred sixty-eight billion, seven hundred eighty-two million, four hundred ninety-four thousand, seven hundred twenty".