64791144000000 has 3360 divisors, whose sum is σ = 274665590485440. Its totient is φ = 15054336000000.

The previous prime is 64791143999983. The next prime is 64791144000017. The reversal of 64791144000000 is 44119746.

64791144000000 is a `hidden beast` number, since 647 + 9 + 1 + 1 + 4 + 4 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64791143999983) and next prime (64791144000017).

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 335 ways as a sum of consecutive naturals, for example, 967031999967 + ... + 967032000033.

It is an arithmetic number, because the mean of its divisors is an integer number (81745711454).

Almost surely, 2^{64791144000000} is an apocalyptic number.

64791144000000 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 64791144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137332795242720).

64791144000000 is an abundant number, since it is smaller than the sum of its proper divisors (209874446485440).

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

64791144000000 is an frugal number, since it uses more digits than its factorization.

64791144000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 64791144000000 its reverse (44119746), we get a palindrome (64791188119746).

The spelling of 64791144000000 in words is "sixty-four trillion, seven hundred ninety-one billion, one hundred forty-four million", and thus it is an aban number.