64244973132000 has 1152 divisors, whose sum is σ = 235478251008000. Its totient is φ = 16581666816000.

The previous prime is 64244973131917. The next prime is 64244973132023. The reversal of 64244973132000 is 23137944246.

64244973132000 is a `hidden beast` number, since 6 + 4 + 2 + 44 + 97 + 313 + 200 + 0 = 666.

64244973132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45922067301 + ... + 45922068699.

It is an arithmetic number, because the mean of its divisors is an integer number (204408204000).

Almost surely, 2^{64244973132000} is an apocalyptic number.

64244973132000 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 64244973132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117739125504000).

64244973132000 is an abundant number, since it is smaller than the sum of its proper divisors (171233277876000).

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

64244973132000 is a wasteful number, since it uses less digits than its factorization.

64244973132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 64244973132000 in words is "sixty-four trillion, two hundred forty-four billion, nine hundred seventy-three million, one hundred thirty-two thousand".