1026363777264 has 840 divisors, whose sum is σ = 3651049924992. Its totient is φ = 278178001920.

The previous prime is 1026363777217. The next prime is 1026363777269. The reversal of 1026363777264 is 4627773636201.

1026363777264 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 3 + 6 + 377 + 7 + 264 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1026363777264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026363777269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 939033102 + ... + 939034194.

Almost surely, 2^{1026363777264} is an apocalyptic number.

1026363777264 is a gapful number since it is divisible by the number (14) 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 1026363777264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825524962496).

1026363777264 is an abundant number, since it is smaller than the sum of its proper divisors (2624686147728).

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

1026363777264 is a wasteful number, since it uses less digits than its factorization.

1026363777264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 1026363777264 in words is "one trillion, twenty-six billion, three hundred sixty-three million, seven hundred seventy-seven thousand, two hundred sixty-four".