19641006000 has 960 divisors, whose sum is σ = 88067506176. Its totient is φ = 3960576000.

The previous prime is 19641005893. The next prime is 19641006017. The reversal of 19641006000 is 60014691.

19641006000 is a `hidden beast` number, since 19 + 6 + 41 + 0 + 0 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51281809 + ... + 51282191.

Almost surely, 2^19641006000 is an apocalyptic number.

19641006000 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 19641006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44033753088).

19641006000 is an abundant number, since it is smaller than the sum of its proper divisors (68426500176).

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

19641006000 is a wasteful number, since it uses less digits than its factorization.

19641006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 19641006000 in words is "nineteen billion, six hundred forty-one million, six thousand".