62680053840480 has 288 divisors, whose sum is σ = 216602239771008. Its totient is φ = 16504081920000.

The previous prime is 62680053840461. The next prime is 62680053840517. The reversal of 62680053840480 is 8404835008626.

62680053840480 is a `hidden beast` number, since 6 + 2 + 6 + 80 + 0 + 5 + 3 + 84 + 0 + 480 = 666.

62680053840480 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 (288).

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 47 ways as a sum of consecutive naturals, for example, 52789330 + ... + 53963630.

It is an arithmetic number, because the mean of its divisors is an integer number (752091110316).

Almost surely, 2^{62680053840480} is an apocalyptic number.

62680053840480 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 62680053840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108301119885504).

62680053840480 is an abundant number, since it is smaller than the sum of its proper divisors (153922185930528).

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

62680053840480 is a wasteful number, since it uses less digits than its factorization.

62680053840480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174790 (or 1174779 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 62680053840480 in words is "sixty-two trillion, six hundred eighty billion, fifty-three million, eight hundred forty thousand, four hundred eighty".