62628444103680 has 2112 divisors, whose sum is σ = 279926997154560. Its totient is φ = 13161686630400.

The previous prime is 62628444103583. The next prime is 62628444103703. The reversal of 62628444103680 is 8630144482626.

It is a happy number.

62628444103680 is a `hidden beast` number, since 6 + 2 + 62 + 84 + 441 + 0 + 3 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24744544015 + ... + 24744546545.

Almost surely, 2^{62628444103680} is an apocalyptic number.

62628444103680 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 62628444103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139963498577280).

62628444103680 is an abundant number, since it is smaller than the sum of its proper divisors (217298553050880).

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

62628444103680 is a wasteful number, since it uses less digits than its factorization.

62628444103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 62628444103680 in words is "sixty-two trillion, six hundred twenty-eight billion, four hundred forty-four million, one hundred three thousand, six hundred eighty".