19680242400 has 864 divisors, whose sum is σ = 87297537600. Its totient is φ = 4145541120.

The previous prime is 19680242383. The next prime is 19680242411. The reversal of 19680242400 is 424208691.

19680242400 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 0 + 242 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32104494 + ... + 32105106.

Almost surely, 2^19680242400 is an apocalyptic number.

19680242400 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 19680242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43648768800).

19680242400 is an abundant number, since it is smaller than the sum of its proper divisors (67617295200).

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

19680242400 is a wasteful number, since it uses less digits than its factorization.

19680242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 19680242400 in words is "nineteen billion, six hundred eighty million, two hundred forty-two thousand, four hundred".