1263075712640 has 512 divisors, whose sum is σ = 3595034880000. Its totient is φ = 424091566080.

The previous prime is 1263075712631. The next prime is 1263075712643. The reversal of 1263075712640 is 462175703621.

It is a happy number.

It is a super-2 number, since 2×1263075712640² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1263075712591 and 1263075712600.

It is not an unprimeable number, because it can be changed into a prime (1263075712643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3000179630 + ... + 3000180050.

It is an arithmetic number, because the mean of its divisors is an integer number (7021552500).

Almost surely, 2^{1263075712640} is an apocalyptic number.

1263075712640 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 1263075712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797517440000).

1263075712640 is an abundant number, since it is smaller than the sum of its proper divisors (2331959167360).

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

1263075712640 is an equidigital number, since it uses as much as digits as its factorization.

1263075712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 1263075712640 in words is "one trillion, two hundred sixty-three billion, seventy-five million, seven hundred twelve thousand, six hundred forty".