6462890572968 has 192 divisors, whose sum is σ = 18604470044160. Its totient is φ = 2019794116608.

The previous prime is 6462890572937. The next prime is 6462890573003. The reversal of 6462890572968 is 8692750982646.

It is a happy number.

6462890572968 is a `hidden beast` number, since 6 + 4 + 6 + 289 + 0 + 57 + 296 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6462890572896 and 6462890572905.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 829316080 + ... + 829323872.

It is an arithmetic number, because the mean of its divisors is an integer number (96898281480).

Almost surely, 2^{6462890572968} is an apocalyptic number.

6462890572968 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 6462890572968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302235022080).

6462890572968 is an abundant number, since it is smaller than the sum of its proper divisors (12141579471192).

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

6462890572968 is a wasteful number, since it uses less digits than its factorization.

6462890572968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10336 (or 10329 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 6462890572968 in words is "six trillion, four hundred sixty-two billion, eight hundred ninety million, five hundred seventy-two thousand, nine hundred sixty-eight".