65964810240 has 448 divisors, whose sum is σ = 268062577920. Its totient is φ = 15075901440.

The previous prime is 65964810217. The next prime is 65964810271. The reversal of 65964810240 is 4201846956.

65964810240 is a `hidden beast` number, since 6 + 596 + 4 + 8 + 10 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 31 ways as a sum of consecutive naturals, for example, 7737180 + ... + 7745700.

Almost surely, 2^65964810240 is an apocalyptic number.

65964810240 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 65964810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134031288960).

65964810240 is an abundant number, since it is smaller than the sum of its proper divisors (202097767680).

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

65964810240 is an equidigital number, since it uses as much as digits as its factorization.

65964810240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8568 (or 8538 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 65964810240 in words is "sixty-five billion, nine hundred sixty-four million, eight hundred ten thousand, two hundred forty".