65604672000 has 960 divisors, whose sum is σ = 276043832064. Its totient is φ = 14664499200.

The previous prime is 65604671999. The next prime is 65604672019. The reversal of 65604672000 is 27640656.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 213695847 + ... + 213696153.

Almost surely, 2^65604672000 is an apocalyptic number.

65604672000 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 65604672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138021916032).

65604672000 is an abundant number, since it is smaller than the sum of its proper divisors (210439160064).

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

65604672000 is a wasteful number, since it uses less digits than its factorization.

65604672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 65604672000 in words is "sixty-five billion, six hundred four million, six hundred seventy-two thousand".