19739966976 has 480 divisors, whose sum is σ = 63867444960. Its totient is φ = 6091407360.

The previous prime is 19739966933. The next prime is 19739967017. The reversal of 19739966976 is 67966993791.

19739966976 is a `hidden beast` number, since 1 + 97 + 399 + 66 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323605986 + ... + 323606046.

It is an arithmetic number, because the mean of its divisors is an integer number (133057177).

Almost surely, 2^19739966976 is an apocalyptic number.

19739966976 is a gapful number since it is divisible by the number (16) 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 19739966976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31933722480).

19739966976 is an abundant number, since it is smaller than the sum of its proper divisors (44127477984).

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

19739966976 is an frugal number, since it uses more digits than its factorization.

19739966976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 83 counting only the distinct ones).

The product of its digits is 208324872, while the sum is 72.

The spelling of 19739966976 in words is "nineteen billion, seven hundred thirty-nine million, nine hundred sixty-six thousand, nine hundred seventy-six".