19874764800 has 576 divisors, whose sum is σ = 79701148800. Its totient is φ = 4814438400.

The previous prime is 19874764799. The next prime is 19874764817. The reversal of 19874764800 is 846747891.

It is a happy number.

19874764800 is a `hidden beast` number, since 1 + 98 + 7 + 4 + 76 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15205747 + ... + 15207053.

It is an arithmetic number, because the mean of its divisors is an integer number (138370050).

Almost surely, 2^19874764800 is an apocalyptic number.

19874764800 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 19874764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39850574400).

19874764800 is an abundant number, since it is smaller than the sum of its proper divisors (59826384000).

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

19874764800 is a wasteful number, since it uses less digits than its factorization.

19874764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 19874764800 in words is "nineteen billion, eight hundred seventy-four million, seven hundred sixty-four thousand, eight hundred".