19641948480 has 672 divisors, whose sum is σ = 87915829248. Its totient is φ = 3902976000.

The previous prime is 19641948467. The next prime is 19641948523. The reversal of 19641948480 is 8484914691.

It is a happy number.

19641948480 is a `hidden beast` number, since 19 + 64 + 1 + 94 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×19641948480² (a number of 21 digits) contains 22 as substring.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5098555 + ... + 5102405.

Almost surely, 2^19641948480 is an apocalyptic number.

19641948480 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 19641948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43957914624).

19641948480 is an abundant number, since it is smaller than the sum of its proper divisors (68273880768).

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

19641948480 is a wasteful number, since it uses less digits than its factorization.

19641948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 19641948480 in words is "nineteen billion, six hundred forty-one million, nine hundred forty-eight thousand, four hundred eighty".