1076233616640 has 3456 divisors, whose sum is σ = 5261314867200. Its totient is φ = 205674577920.

The previous prime is 1076233616599. The next prime is 1076233616693. The reversal of 1076233616640 is 466163326701.

1076233616640 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 23 + 3 + 616 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12966670039 + ... + 12966670121.

It is an arithmetic number, because the mean of its divisors is an integer number (1522371200).

Almost surely, 2^{1076233616640} is an apocalyptic number.

1076233616640 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 1076233616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630657433600).

1076233616640 is an abundant number, since it is smaller than the sum of its proper divisors (4185081250560).

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

1076233616640 is a wasteful number, since it uses less digits than its factorization.

1076233616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 1076233616640 in words is "one trillion, seventy-six billion, two hundred thirty-three million, six hundred sixteen thousand, six hundred forty".