4662397882368 has 624 divisors, whose sum is σ = 14096073019392. Its totient is φ = 1483776000000.

The previous prime is 4662397882357. The next prime is 4662397882409. The reversal of 4662397882368 is 8632887932664.

4662397882368 is a `hidden beast` number, since 46 + 62 + 3 + 97 + 8 + 82 + 368 = 666.

It is a super-2 number, since 2×4662397882368² (a number of 26 digits) contains 22 as substring.

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 = 4662397882296 and 4662397882305.

It is a congruent number.

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, 18575290243 + ... + 18575290493.

It is an arithmetic number, because the mean of its divisors is an integer number (22589860608).

Almost surely, 2^{4662397882368} is an apocalyptic number.

4662397882368 is a gapful number since it is divisible by the number (48) 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 4662397882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048036509696).

4662397882368 is an abundant number, since it is smaller than the sum of its proper divisors (9433675137024).

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

4662397882368 is a wasteful number, since it uses less digits than its factorization.

4662397882368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 525 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 72.

The spelling of 4662397882368 in words is "four trillion, six hundred sixty-two billion, three hundred ninety-seven million, eight hundred eighty-two thousand, three hundred sixty-eight".