1083763376640 has 640 divisors, whose sum is σ = 4452735006720. Its totient is φ = 244723728384.

The previous prime is 1083763376581. The next prime is 1083763376659. The reversal of 1083763376640 is 466733673801.

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

It is a super-2 number, since 2×1083763376640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40145227 + ... + 40172213.

It is an arithmetic number, because the mean of its divisors is an integer number (6957398448).

Almost surely, 2^{1083763376640} is an apocalyptic number.

1083763376640 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 1083763376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226367503360).

1083763376640 is an abundant number, since it is smaller than the sum of its proper divisors (3368971630080).

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

1083763376640 is an equidigital number, since it uses as much as digits as its factorization.

1083763376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27109 (or 27087 counting only the distinct ones).

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

The spelling of 1083763376640 in words is "one trillion, eighty-three billion, seven hundred sixty-three million, three hundred seventy-six thousand, six hundred forty".