65638425600 has 1056 divisors, whose sum is σ = 268651555200. Its totient is φ = 15571353600.

The previous prime is 65638425553. The next prime is 65638425649. The reversal of 65638425600 is 652483656.

65638425600 is a `hidden beast` number, since 6 + 5 + 6 + 3 + 84 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 676684752 + ... + 676684848.

Almost surely, 2^65638425600 is an apocalyptic number.

65638425600 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 65638425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134325777600).

65638425600 is an abundant number, since it is smaller than the sum of its proper divisors (203013129600).

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

65638425600 is a wasteful number, since it uses less digits than its factorization.

65638425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 65638425600 in words is "sixty-five billion, six hundred thirty-eight million, four hundred twenty-five thousand, six hundred".