1003768540362 has 128 divisors (see below), whose sum is σ = 2589156218880. Its totient is φ = 285854161968.

The previous prime is 1003768540349. The next prime is 1003768540367. The reversal of 1003768540362 is 2630458673001.

1003768540362 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 76 + 8 + 540 + 36 + 2 = 666.

1003768540362 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1003768540367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9346333 + ... + 9453119.

It is an arithmetic number, because the mean of its divisors is an integer number (20227782960).

Almost surely, 2^{1003768540362} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003768540362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294578109440).

1003768540362 is an abundant number, since it is smaller than the sum of its proper divisors (1585387678518).

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

1003768540362 is an equidigital number, since it uses as much as digits as its factorization.

1003768540362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107124 (or 107106 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1003768540362 in words is "one trillion, three billion, seven hundred sixty-eight million, five hundred forty thousand, three hundred sixty-two".