64662276974400 has 2016 divisors, whose sum is σ = 285313243545600. Its totient is φ = 14188724121600.

The previous prime is 64662276974357. The next prime is 64662276974447. The reversal of 64662276974400 is 447967226646.

It is a happy number.

64662276974400 is a `hidden beast` number, since 6 + 46 + 62 + 2 + 7 + 6 + 97 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8333837721 + ... + 8333845479.

Almost surely, 2^{64662276974400} is an apocalyptic number.

64662276974400 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 64662276974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142656621772800).

64662276974400 is an abundant number, since it is smaller than the sum of its proper divisors (220650966571200).

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

64662276974400 is a wasteful number, since it uses less digits than its factorization.

64662276974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7962 (or 7934 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 64662276974400 in words is "sixty-four trillion, six hundred sixty-two billion, two hundred seventy-six million, nine hundred seventy-four thousand, four hundred".