53705740672 has 64 divisors (see below), whose sum is σ = 113426978400. Its totient is φ = 25241739264.

The previous prime is 53705740663. The next prime is 53705740691. The reversal of 53705740672 is 27604750735.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×53705740672³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1775854 + ... + 1805842.

Almost surely, 2^53705740672 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 53705740672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56713489200).

53705740672 is an abundant number, since it is smaller than the sum of its proper divisors (59721237728).

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

53705740672 is a wasteful number, since it uses less digits than its factorization.

53705740672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30843 (or 30831 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 46.

The spelling of 53705740672 in words is "fifty-three billion, seven hundred five million, seven hundred forty thousand, six hundred seventy-two".