62628557775168 has 448 divisors, whose sum is σ = 218780482830336. Its totient is φ = 15307812864000.

The previous prime is 62628557775163. The next prime is 62628557775193. The reversal of 62628557775168 is 86157775582626.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×62628557775168² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 62628557775168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62628557775163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1945513953 + ... + 1945546143.

It is an arithmetic number, because the mean of its divisors is an integer number (488349292032).

Almost surely, 2^{62628557775168} is an apocalyptic number.

62628557775168 is a gapful number since it is divisible by the number (68) 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 62628557775168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109390241415168).

62628557775168 is an abundant number, since it is smaller than the sum of its proper divisors (156151925055168).

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

62628557775168 is a wasteful number, since it uses less digits than its factorization.

62628557775168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39982 (or 39972 counting only the distinct ones).

The product of its digits is 2370816000, while the sum is 75.

The spelling of 62628557775168 in words is "sixty-two trillion, six hundred twenty-eight billion, five hundred fifty-seven million, seven hundred seventy-five thousand, one hundred sixty-eight".