65405664000 has 1152 divisors, whose sum is σ = 263330645760. Its totient is φ = 15925248000.

The previous prime is 65405663969. The next prime is 65405664089. The reversal of 65405664000 is 46650456.

It is a happy number.

65405664000 is a `hidden beast` number, since 6 + 5 + 4 + 0 + 5 + 6 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 895967964 + ... + 895968036.

It is an arithmetic number, because the mean of its divisors is an integer number (228585630).

Almost surely, 2^65405664000 is an apocalyptic number.

65405664000 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 65405664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131665322880).

65405664000 is an abundant number, since it is smaller than the sum of its proper divisors (197924981760).

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

65405664000 is a wasteful number, since it uses less digits than its factorization.

65405664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 65405664000 in words is "sixty-five billion, four hundred five million, six hundred sixty-four thousand".