19357040640 has 544 divisors, whose sum is σ = 73986958080. Its totient is φ = 4227858432.

The previous prime is 19357040623. The next prime is 19357040653. The reversal of 19357040640 is 4604075391.

It is a super-2 number, since 2×19357040640² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199557072 + ... + 199557168.

Almost surely, 2^19357040640 is an apocalyptic number.

19357040640 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 19357040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36993479040).

19357040640 is an abundant number, since it is smaller than the sum of its proper divisors (54629917440).

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

19357040640 is an frugal number, since it uses more digits than its factorization.

19357040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 19357040640 in words is "nineteen billion, three hundred fifty-seven million, forty thousand, six hundred forty".