19782973440 has 960 divisors, whose sum is σ = 79628028480. Its totient is φ = 4671406080.

The previous prime is 19782973433. The next prime is 19782973453. The reversal of 19782973440 is 4437928791.

19782973440 is a `hidden beast` number, since 1 + 9 + 7 + 8 + 297 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 324311010 + ... + 324311070.

It is an arithmetic number, because the mean of its divisors is an integer number (82945863).

Almost surely, 2^19782973440 is an apocalyptic number.

19782973440 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 19782973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39814014240).

19782973440 is an abundant number, since it is smaller than the sum of its proper divisors (59845055040).

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

19782973440 is a wasteful number, since it uses less digits than its factorization.

19782973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 19782973440 in words is "nineteen billion, seven hundred eighty-two million, nine hundred seventy-three thousand, four hundred forty".