64140595200000 has 3840 divisors, whose sum is σ = 282478729579200. Its totient is φ = 14332723200000.

The previous prime is 64140595199999. The next prime is 64140595200013. The reversal of 64140595200000 is 259504146.

64140595200000 is a `hidden beast` number, since 6 + 4 + 1 + 40 + 595 + 20 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×64140595200000² (a number of 28 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1733529599982 + ... + 1733529600018.

Almost surely, 2^{64140595200000} is an apocalyptic number.

64140595200000 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 64140595200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141239364789600).

64140595200000 is an abundant number, since it is smaller than the sum of its proper divisors (218338134379200).

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

64140595200000 is an frugal number, since it uses more digits than its factorization.

64140595200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 64140595200000 in words is "sixty-four trillion, one hundred forty billion, five hundred ninety-five million, two hundred thousand".