60723971730240 has 448 divisors, whose sum is σ = 237322116810240. Its totient is φ = 12810388930560.

The previous prime is 60723971730187. The next prime is 60723971730263. The reversal of 60723971730240 is 4203717932706.

60723971730240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 722337810 + ... + 722421870.

It is an arithmetic number, because the mean of its divisors is an integer number (529736867880).

Almost surely, 2^{60723971730240} is an apocalyptic number.

60723971730240 is a gapful number since it is divisible by the number (60) 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 60723971730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118661058405120).

60723971730240 is an abundant number, since it is smaller than the sum of its proper divisors (176598145080000).

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

60723971730240 is a wasteful number, since it uses less digits than its factorization.

60723971730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92370 (or 92360 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 51.

The spelling of 60723971730240 in words is "sixty trillion, seven hundred twenty-three billion, nine hundred seventy-one million, seven hundred thirty thousand, two hundred forty".