19642603680 has 288 divisors, whose sum is σ = 79444520064. Its totient is φ = 4489675776.

The previous prime is 19642603633. The next prime is 19642603741. The reversal of 19642603680 is 8630624691.

19642603680 is a `hidden beast` number, since 196 + 42 + 60 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 236074 + ... + 308246.

It is an arithmetic number, because the mean of its divisors is an integer number (275849028).

Almost surely, 2^19642603680 is an apocalyptic number.

19642603680 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 19642603680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39722260032).

19642603680 is an abundant number, since it is smaller than the sum of its proper divisors (59801916384).

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

19642603680 is an equidigital number, since it uses as much as digits as its factorization.

19642603680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72210 (or 72190 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 19642603680 in words is "nineteen billion, six hundred forty-two million, six hundred three thousand, six hundred eighty".