13062757680 has 640 divisors, whose sum is σ = 54967910400. Its totient is φ = 2789821440.

The previous prime is 13062757637. The next prime is 13062757691. The reversal of 13062757680 is 8675726031.

13062757680 is a `hidden beast` number, since 1 + 306 + 275 + 76 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 421379265 + ... + 421379295.

It is an arithmetic number, because the mean of its divisors is an integer number (85887360).

Almost surely, 2^13062757680 is an apocalyptic number.

13062757680 is a gapful number since it is divisible by the number (10) 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 13062757680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27483955200).

13062757680 is an abundant number, since it is smaller than the sum of its proper divisors (41905152720).

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

13062757680 is an equidigital number, since it uses as much as digits as its factorization.

13062757680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 13062757680 in words is "thirteen billion, sixty-two million, seven hundred fifty-seven thousand, six hundred eighty".