19640331900 has 432 divisors, whose sum is σ = 74861146080. Its totient is φ = 4402944000.

The previous prime is 19640331881. The next prime is 19640331917. The reversal of 19640331900 is 913304691.

19640331900 is a `hidden beast` number, since 1 + 9 + 640 + 3 + 3 + 1 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×19640331900² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7010500 + ... + 7013300.

It is an arithmetic number, because the mean of its divisors is an integer number (173289690).

Almost surely, 2^19640331900 is an apocalyptic number.

19640331900 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 19640331900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37430573040).

19640331900 is an abundant number, since it is smaller than the sum of its proper divisors (55220814180).

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

19640331900 is a wasteful number, since it uses less digits than its factorization.

19640331900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 19640331900 in words is "nineteen billion, six hundred forty million, three hundred thirty-one thousand, nine hundred".