19764468192 has 768 divisors, whose sum is σ = 71484456960. Its totient is φ = 4642209792.

The previous prime is 19764468187. The next prime is 19764468197. The reversal of 19764468192 is 29186446791.

It is an interprime number because it is at equal distance from previous prime (19764468187) and next prime (19764468197).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19764468197) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 184714603 + ... + 184714709.

It is an arithmetic number, because the mean of its divisors is an integer number (93078720).

Almost surely, 2^19764468192 is an apocalyptic number.

19764468192 is a gapful number since it is divisible by the number (12) 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 19764468192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35742228480).

19764468192 is an abundant number, since it is smaller than the sum of its proper divisors (51719988768).

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

19764468192 is a wasteful number, since it uses less digits than its factorization.

19764468192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The spelling of 19764468192 in words is "nineteen billion, seven hundred sixty-four million, four hundred sixty-eight thousand, one hundred ninety-two".