19964924928 has 176 divisors, whose sum is σ = 63675783360. Its totient is φ = 6142943232.

The previous prime is 19964924927. The next prime is 19964924929. The reversal of 19964924928 is 82942946991.

19964924928 is a `hidden beast` number, since 19 + 96 + 49 + 2 + 492 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (19964924927) and next prime (19964924929).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19964924921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331651 + ... + 387197.

Almost surely, 2^19964924928 is an apocalyptic number.

19964924928 is a gapful number since it is divisible by the number (18) 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 19964924928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31837891680).

19964924928 is an abundant number, since it is smaller than the sum of its proper divisors (43710858432).

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

19964924928 is a wasteful number, since it uses less digits than its factorization.

19964924928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55589 (or 55565 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 19964924928 in words is "nineteen billion, nine hundred sixty-four million, nine hundred twenty-four thousand, nine hundred twenty-eight".