19424769840 has 320 divisors, whose sum is σ = 80964817920. Its totient is φ = 4178718720.

The previous prime is 19424769839. The next prime is 19424769841. The reversal of 19424769840 is 4896742491.

19424769840 is a `hidden beast` number, since 1 + 9 + 42 + 476 + 98 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (19424769839) and next prime (19424769841).

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

It is not an unprimeable number, because it can be changed into a prime (19424769841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219255 + ... + 294825.

It is an arithmetic number, because the mean of its divisors is an integer number (253015056).

Almost surely, 2^19424769840 is an apocalyptic number.

19424769840 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 19424769840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40482408960).

19424769840 is an abundant number, since it is smaller than the sum of its proper divisors (61540048080).

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

19424769840 is a wasteful number, since it uses less digits than its factorization.

19424769840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75617 (or 75605 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 19424769840 in words is "nineteen billion, four hundred twenty-four million, seven hundred sixty-nine thousand, eight hundred forty".