18719406720 has 1024 divisors, whose sum is σ = 80137728000. Its totient is φ = 4041031680.

The previous prime is 18719406701. The next prime is 18719406733. The reversal of 18719406720 is 2760491781.

It is a happy number.

It is a super-3 number, since 3×18719406720³ (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 306875490 + ... + 306875550.

It is an arithmetic number, because the mean of its divisors is an integer number (78259500).

Almost surely, 2^18719406720 is an apocalyptic number.

18719406720 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 18719406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40068864000).

18719406720 is an abundant number, since it is smaller than the sum of its proper divisors (61418321280).

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

18719406720 is a wasteful number, since it uses less digits than its factorization.

18719406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 18719406720 in words is "eighteen billion, seven hundred nineteen million, four hundred six thousand, seven hundred twenty".