19924242624 has 1008 divisors, whose sum is σ = 76296170496. Its totient is φ = 5076172800.

The previous prime is 19924242599. The next prime is 19924242649. The reversal of 19924242624 is 42624242991.

It is a happy number.

19924242624 is a `hidden beast` number, since 19 + 9 + 2 + 4 + 2 + 4 + 2 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (19924242599) and next prime (19924242649).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 19924242624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 642717489 + ... + 642717519.

Almost surely, 2^19924242624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19924242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38148085248).

19924242624 is an abundant number, since it is smaller than the sum of its proper divisors (56371927872).

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

19924242624 is a wasteful number, since it uses less digits than its factorization.

19924242624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 77 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 19924242624 in words is "nineteen billion, nine hundred twenty-four million, two hundred forty-two thousand, six hundred twenty-four".