19720632400 has 240 divisors, whose sum is σ = 59828385024. Its totient is φ = 6086615040.

The previous prime is 19720632343. The next prime is 19720632427. The reversal of 19720632400 is 423602791.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 1085794 + ... + 1103806.

Almost surely, 2^19720632400 is an apocalyptic number.

19720632400 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 19720632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29914192512).

19720632400 is an abundant number, since it is smaller than the sum of its proper divisors (40107752624).

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

19720632400 is a wasteful number, since it uses less digits than its factorization.

19720632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18078 (or 18067 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 19720632400 in words is "nineteen billion, seven hundred twenty million, six hundred thirty-two thousand, four hundred".