19784672964 has 243 divisors, whose sum is σ = 62115097863. Its totient is φ = 5293241856.

The previous prime is 19784672923. The next prime is 19784673017. The reversal of 19784672964 is 46927648791.

The square root of 19784672964 is 140658.

It is a perfect power (a square), and thus also a powerful number.

19784672964 is a `hidden beast` number, since 1 + 97 + 8 + 467 + 29 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12869087364 + 6915585600 = 113442^2 + 83160^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 100429714 + ... + 100429910.

Almost surely, 2^19784672964 is an apocalyptic number.

19784672964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

19784672964 is the 140658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19784672964

19784672964 is an abundant number, since it is smaller than the sum of its proper divisors (42330424899).

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

19784672964 is a wasteful number, since it uses less digits than its factorization.

19784672964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 226 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 19784672964 in words is "nineteen billion, seven hundred eighty-four million, six hundred seventy-two thousand, nine hundred sixty-four".