10794731631264 has 360 divisors, whose sum is σ = 38203658386740. Its totient is φ = 2977855985664.

The previous prime is 10794731631259. The next prime is 10794731631403. The reversal of 10794731631264 is 46213613749701.

10794731631264 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 4 + 7 + 316 + 312 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10370383614864 + 424348016400 = 3220308^2 + 651420^2 .

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 10794731631264.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2217844 + ... + 5148620.

Almost surely, 2^{10794731631264} is an apocalyptic number.

10794731631264 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 10794731631264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19101829193370).

10794731631264 is an abundant number, since it is smaller than the sum of its proper divisors (27408926755476).

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

10794731631264 is a wasteful number, since it uses less digits than its factorization.

10794731631264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930842 (or 2930818 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 10794731631264 in words is "ten trillion, seven hundred ninety-four billion, seven hundred thirty-one million, six hundred thirty-one thousand, two hundred sixty-four".