662084448480 has 2688 divisors, whose sum is σ = 3146580864000. Its totient is φ = 130365075456.

The previous prime is 662084448479. The next prime is 662084448511. The reversal of 662084448480 is 84844480266.

662084448480 is a `hidden beast` number, since 6 + 6 + 2 + 0 + 84 + 4 + 484 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 9881857407 + ... + 9881857473.

It is an arithmetic number, because the mean of its divisors is an integer number (1170603000).

Almost surely, 2^662084448480 is an apocalyptic number.

662084448480 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 662084448480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573290432000).

662084448480 is an abundant number, since it is smaller than the sum of its proper divisors (2484496415520).

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

662084448480 is a wasteful number, since it uses less digits than its factorization.

662084448480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 662084448480 in words is "six hundred sixty-two billion, eighty-four million, four hundred forty-eight thousand, four hundred eighty".