19740756672 has 224 divisors, whose sum is σ = 71427238400. Its totient is φ = 5206311936.

The previous prime is 19740756649. The next prime is 19740756691. The reversal of 19740756672 is 27665704791.

19740756672 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 0 + 7 + 566 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×19740756672² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 94479 + ... + 220017.

It is an arithmetic number, because the mean of its divisors is an integer number (318871600).

Almost surely, 2^19740756672 is an apocalyptic number.

19740756672 is a gapful number since it is divisible by the number (12) 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 19740756672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35713619200).

19740756672 is an abundant number, since it is smaller than the sum of its proper divisors (51686481728).

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

19740756672 is a wasteful number, since it uses less digits than its factorization.

19740756672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125580 (or 125564 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 19740756672 in words is "nineteen billion, seven hundred forty million, seven hundred fifty-six thousand, six hundred seventy-two".