65344207104000 has 1152 divisors, whose sum is σ = 261795304592640. Its totient is φ = 15541813248000.

The previous prime is 65344207103971. The next prime is 65344207104019. The reversal of 65344207104000 is 40170244356.

65344207104000 is a `hidden beast` number, since 6 + 5 + 3 + 44 + 207 + 1 + 0 + 400 + 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1343207677 + ... + 1343256323.

It is an arithmetic number, because the mean of its divisors is an integer number (227252868570).

Almost surely, 2^{65344207104000} is an apocalyptic number.

65344207104000 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 65344207104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130897652296320).

65344207104000 is an abundant number, since it is smaller than the sum of its proper divisors (196451097488640).

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

65344207104000 is a wasteful number, since it uses less digits than its factorization.

65344207104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48754 (or 48721 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 65344207104000 its reverse (40170244356), we get a palindrome (65384377348356).

The spelling of 65344207104000 in words is "sixty-five trillion, three hundred forty-four billion, two hundred seven million, one hundred four thousand".