1073763638640 has 480 divisors, whose sum is σ = 4605527227392. Its totient is φ = 217677312000.

The previous prime is 1073763638579. The next prime is 1073763638719. The reversal of 1073763638640 is 468363673701.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2036845 + ... + 2509235.

Almost surely, 2^{1073763638640} is an apocalyptic number.

1073763638640 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 1073763638640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302763613696).

1073763638640 is an abundant number, since it is smaller than the sum of its proper divisors (3531763588752).

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

1073763638640 is a wasteful number, since it uses less digits than its factorization.

1073763638640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472469 (or 472460 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 1073763638640 in words is "one trillion, seventy-three billion, seven hundred sixty-three million, six hundred thirty-eight thousand, six hundred forty".