1263292208640 has 640 divisors, whose sum is σ = 5594603351040. Its totient is φ = 262501171200.

The previous prime is 1263292208611. The next prime is 1263292208641. The reversal of 1263292208640 is 468022923621.

1263292208640 is a `hidden beast` number, since 1 + 2 + 632 + 9 + 2 + 2 + 0 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1263292208641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5203560 + ... + 5440920.

It is an arithmetic number, because the mean of its divisors is an integer number (8741567736).

Almost surely, 2^{1263292208640} is an apocalyptic number.

1263292208640 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 1263292208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797301675520).

1263292208640 is an abundant number, since it is smaller than the sum of its proper divisors (4331311142400).

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

1263292208640 is a wasteful number, since it uses less digits than its factorization.

1263292208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237411 (or 237389 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1263292208640 in words is "one trillion, two hundred sixty-three billion, two hundred ninety-two million, two hundred eight thousand, six hundred forty".