19754532864 has 360 divisors, whose sum is σ = 65633611680. Its totient is φ = 5662310400.

The previous prime is 19754532851. The next prime is 19754532887. The reversal of 19754532864 is 46823545791.

It is a happy number.

19754532864 is a `hidden beast` number, since 1 + 9 + 7 + 545 + 32 + 8 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 19754532864.

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 23 ways as a sum of consecutive naturals, for example, 30817984 + ... + 30818624.

It is an arithmetic number, because the mean of its divisors is an integer number (182315588).

Almost surely, 2^19754532864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19754532864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32816805840).

19754532864 is an abundant number, since it is smaller than the sum of its proper divisors (45879078816).

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

19754532864 is a wasteful number, since it uses less digits than its factorization.

19754532864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 676 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 19754532864 in words is "nineteen billion, seven hundred fifty-four million, five hundred thirty-two thousand, eight hundred sixty-four".