62607630101328 has 240 divisors, whose sum is σ = 194609476607040. Its totient is φ = 19262360452608.

The previous prime is 62607630101323. The next prime is 62607630101347. The reversal of 62607630101328 is 82310103670626.

62607630101328 is a `hidden beast` number, since 6 + 2 + 6 + 0 + 7 + 630 + 1 + 0 + 1 + 3 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62607630101323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223807526 + ... + 1223858682.

It is an arithmetic number, because the mean of its divisors is an integer number (810872819196).

Almost surely, 2^{62607630101328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62607630101328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97304738303520).

62607630101328 is an abundant number, since it is smaller than the sum of its proper divisors (132001846505712).

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

62607630101328 is a wasteful number, since it uses less digits than its factorization.

62607630101328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67963 (or 67938 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 62607630101328 in words is "sixty-two trillion, six hundred seven billion, six hundred thirty million, one hundred one thousand, three hundred twenty-eight".