62968945596480 has 672 divisors, whose sum is σ = 280031620377600. Its totient is φ = 13084454983680.

The previous prime is 62968945596449. The next prime is 62968945596481. The reversal of 62968945596480 is 8469554986926.

It is a happy number.

62968945596480 is a `hidden beast` number, since 6 + 2 + 9 + 6 + 8 + 9 + 45 + 5 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 62968945596480.

It is not an unprimeable number, because it can be changed into a prime (62968945596481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 729171 + ... + 11245869.

It is an arithmetic number, because the mean of its divisors is an integer number (416713720800).

Almost surely, 2^{62968945596480} is an apocalyptic number.

62968945596480 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 62968945596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140015810188800).

62968945596480 is an abundant number, since it is smaller than the sum of its proper divisors (217062674781120).

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

62968945596480 is a wasteful number, since it uses less digits than its factorization.

62968945596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10516749 (or 10516727 counting only the distinct ones).

The product of its (nonzero) digits is 8062156800, while the sum is 81.

The spelling of 62968945596480 in words is "sixty-two trillion, nine hundred sixty-eight billion, nine hundred forty-five million, five hundred ninety-six thousand, four hundred eighty".