19800760320 has 672 divisors, whose sum is σ = 79125958080. Its totient is φ = 4529848320.

The previous prime is 19800760277. The next prime is 19800760327. The reversal of 19800760320 is 2306700891.

It is a super-3 number, since 3×19800760320³ (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19800760327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77045632 + ... + 77045888.

Almost surely, 2^19800760320 is an apocalyptic number.

19800760320 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 19800760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39562979040).

19800760320 is an abundant number, since it is smaller than the sum of its proper divisors (59325197760).

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

19800760320 is a wasteful number, since it uses less digits than its factorization.

19800760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 19800760320 in words is "nineteen billion, eight hundred million, seven hundred sixty thousand, three hundred twenty".