17904485340 has 432 divisors, whose sum is σ = 68473877472. Its totient is φ = 3760791552.

The previous prime is 17904485321. The next prime is 17904485341. The reversal of 17904485340 is 4358440971.

17904485340 is a `hidden beast` number, since 1 + 79 + 0 + 4 + 48 + 534 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17904485341) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6446032 + ... + 6448808.

It is an arithmetic number, because the mean of its divisors is an integer number (158504346).

Almost surely, 2^17904485340 is an apocalyptic number.

17904485340 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 17904485340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34236938736).

17904485340 is an abundant number, since it is smaller than the sum of its proper divisors (50569392132).

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

17904485340 is a wasteful number, since it uses less digits than its factorization.

17904485340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 17904485340 in words is "seventeen billion, nine hundred four million, four hundred eighty-five thousand, three hundred forty".