19368007680 has 192 divisors, whose sum is σ = 70815064320. Its totient is φ = 4426924032.

The previous prime is 19368007661. The next prime is 19368007723. The reversal of 19368007680 is 8670086391.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170007 + ... + 260073.

It is an arithmetic number, because the mean of its divisors is an integer number (368828460).

Almost surely, 2^19368007680 is an apocalyptic number.

19368007680 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 19368007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35407532160).

19368007680 is an abundant number, since it is smaller than the sum of its proper divisors (51447056640).

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

19368007680 is an equidigital number, since it uses as much as digits as its factorization.

19368007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90104 (or 90084 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 19368007680 in words is "nineteen billion, three hundred sixty-eight million, seven thousand, six hundred eighty".