62728510743360 has 6272 divisors, whose sum is σ = 312144850944000. Its totient is φ = 11950131916800.

The previous prime is 62728510743287. The next prime is 62728510743443. The reversal of 62728510743360 is 6334701582726.

It is a happy number.

62728510743360 is a `hidden beast` number, since 6 + 2 + 7 + 28 + 510 + 7 + 43 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 62728510743297 and 62728510743306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 2023500346545 + ... + 2023500346575.

Almost surely, 2^{62728510743360} is an apocalyptic number.

62728510743360 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 62728510743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156072425472000).

62728510743360 is an abundant number, since it is smaller than the sum of its proper divisors (249416340200640).

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

62728510743360 is an equidigital number, since it uses as much as digits as its factorization.

62728510743360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 62728510743360 in words is "sixty-two trillion, seven hundred twenty-eight billion, five hundred ten million, seven hundred forty-three thousand, three hundred sixty".