662638314103920 has 720 divisors, whose sum is σ = 2824499179232640. Its totient is φ = 137667687091200.

The previous prime is 662638314103903. The next prime is 662638314103957. The reversal of 662638314103920 is 29301413836266.

662638314103920 is a `hidden beast` number, since 6 + 6 + 2 + 63 + 83 + 1 + 410 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2332606851 + ... + 2332890909.

It is an arithmetic number, because the mean of its divisors is an integer number (3922915526712).

Almost surely, 2^{662638314103920} is an apocalyptic number.

662638314103920 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 662638314103920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412249589616320).

662638314103920 is an abundant number, since it is smaller than the sum of its proper divisors (2161860865128720).

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

662638314103920 is a wasteful number, since it uses less digits than its factorization.

662638314103920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290114 (or 290098 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 662638314103920 in words is "six hundred sixty-two trillion, six hundred thirty-eight billion, three hundred fourteen million, one hundred three thousand, nine hundred twenty".