1026949636720 has 320 divisors, whose sum is σ = 3098745953280. Its totient is φ = 308017741824.

The previous prime is 1026949636717. The next prime is 1026949636723. The reversal of 1026949636720 is 276369496201.

It is an interprime number because it is at equal distance from previous prime (1026949636717) and next prime (1026949636723).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026949636723) 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, 9533079 + ... + 9640201.

It is an arithmetic number, because the mean of its divisors is an integer number (9683581104).

Almost surely, 2^{1026949636720} is an apocalyptic number.

1026949636720 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 1026949636720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549372976640).

1026949636720 is an abundant number, since it is smaller than the sum of its proper divisors (2071796316560).

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

1026949636720 is a wasteful number, since it uses less digits than its factorization.

1026949636720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107232 (or 107226 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 1026949636720 in words is "one trillion, twenty-six billion, nine hundred forty-nine million, six hundred thirty-six thousand, seven hundred twenty".