19677764471040 has 2160 divisors, whose sum is σ = 83371630358016. Its totient is φ = 4409701171200.

The previous prime is 19677764471017. The next prime is 19677764471051. The reversal of 19677764471040 is 4017446777691.

19677764471040 is a `hidden beast` number, since 1 + 9 + 6 + 77 + 76 + 447 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9234050775 + ... + 9234052905.

Almost surely, 2^{19677764471040} is an apocalyptic number.

19677764471040 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 19677764471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41685815179008).

19677764471040 is an abundant number, since it is smaller than the sum of its proper divisors (63693865886976).

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

19677764471040 is a wasteful number, since it uses less digits than its factorization.

19677764471040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 19677764471040 in words is "nineteen trillion, six hundred seventy-seven billion, seven hundred sixty-four million, four hundred seventy-one thousand, forty".