19975342464 has 384 divisors, whose sum is σ = 73345409280. Its totient is φ = 5066772480.

The previous prime is 19975342463. The next prime is 19975342549. The reversal of 19975342464 is 46424357991.

19975342464 is a `hidden beast` number, since 1 + 9 + 97 + 53 + 42 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 19975342464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19975342463) 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, 3811654 + ... + 3816890.

It is an arithmetic number, because the mean of its divisors is an integer number (191003670).

Almost surely, 2^19975342464 is an apocalyptic number.

19975342464 is a gapful number since it is divisible by the number (14) 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 19975342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36672704640).

19975342464 is an abundant number, since it is smaller than the sum of its proper divisors (53370066816).

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

19975342464 is a wasteful number, since it uses less digits than its factorization.

19975342464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318 (or 5303 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 19975342464 in words is "nineteen billion, nine hundred seventy-five million, three hundred forty-two thousand, four hundred sixty-four".