1003027493680 has 40 divisors (see below), whose sum is σ = 2454777817200. Its totient is φ = 380094628608.

The previous prime is 1003027493653. The next prime is 1003027493681. The reversal of 1003027493680 is 863947203001.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1003027493681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329941735 + ... + 329944774.

It is an arithmetic number, because the mean of its divisors is an integer number (61369445430).

Almost surely, 2^{1003027493680} is an apocalyptic number.

1003027493680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003027493680 is an abundant number, since it is smaller than the sum of its proper divisors (1451750323520).

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

1003027493680 is a wasteful number, since it uses less digits than its factorization.

1003027493680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659886541 (or 659886535 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 1003027493680 in words is "one trillion, three billion, twenty-seven million, four hundred ninety-three thousand, six hundred eighty".