662546606400 has 672 divisors, whose sum is σ = 2774953820160. Its totient is φ = 150633216000.

The previous prime is 662546606389. The next prime is 662546606401. The reversal of 662546606400 is 4606645266.

662546606400 is a `hidden beast` number, since 6 + 6 + 2 + 546 + 60 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (662546606401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57752665 + ... + 57764135.

Almost surely, 2^662546606400 is an apocalyptic number.

662546606400 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 662546606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387476910080).

662546606400 is an abundant number, since it is smaller than the sum of its proper divisors (2112407213760).

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

662546606400 is a wasteful number, since it uses less digits than its factorization.

662546606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11700 (or 11679 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 662546606400 in words is "six hundred sixty-two billion, five hundred forty-six million, six hundred six thousand, four hundred".