19782846720 has 864 divisors, whose sum is σ = 85496366592. Its totient is φ = 4112252928.

The previous prime is 19782846709. The next prime is 19782846731. The reversal of 19782846720 is 2764828791.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19782846709) and next prime (19782846731).

It is a super-2 number, since 2×19782846720² (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118460077 + ... + 118460243.

It is an arithmetic number, because the mean of its divisors is an integer number (98954128).

Almost surely, 2^19782846720 is an apocalyptic number.

19782846720 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 19782846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42748183296).

19782846720 is an abundant number, since it is smaller than the sum of its proper divisors (65713519872).

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

19782846720 is a wasteful number, since it uses less digits than its factorization.

19782846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 19782846720 in words is "nineteen billion, seven hundred eighty-two million, eight hundred forty-six thousand, seven hundred twenty".