1036791123264 has 896 divisors, whose sum is σ = 3600560947200. Its totient is φ = 289700167680.

The previous prime is 1036791123239. The next prime is 1036791123287. The reversal of 1036791123264 is 4623211976301.

1036791123264 is a `hidden beast` number, since 1 + 0 + 367 + 9 + 1 + 1 + 23 + 264 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1680374284 + ... + 1680374900.

It is an arithmetic number, because the mean of its divisors is an integer number (4018483200).

Almost surely, 2^{1036791123264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1036791123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800280473600).

1036791123264 is an abundant number, since it is smaller than the sum of its proper divisors (2563769823936).

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

1036791123264 is a wasteful number, since it uses less digits than its factorization.

1036791123264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 1036791123264 in words is "one trillion, thirty-six billion, seven hundred ninety-one million, one hundred twenty-three thousand, two hundred sixty-four".