662638838400 has 4032 divisors, whose sum is σ = 3404086767360. Its totient is φ = 125411328000.

The previous prime is 662638838387. The next prime is 662638838437. The reversal of 662638838400 is 4838836266.

It is a happy number.

662638838400 is a `hidden beast` number, since 6 + 626 + 3 + 8 + 8 + 3 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×662638838400² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 21375446385 + ... + 21375446415.

Almost surely, 2^662638838400 is an apocalyptic number.

662638838400 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 662638838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702043383680).

662638838400 is an abundant number, since it is smaller than the sum of its proper divisors (2741447928960).

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

662638838400 is a wasteful number, since it uses less digits than its factorization.

662638838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 662638838400 in words is "six hundred sixty-two billion, six hundred thirty-eight million, eight hundred thirty-eight thousand, four hundred".