64487301120 has 1344 divisors, whose sum is σ = 274794024960. Its totient is φ = 14332723200.

The previous prime is 64487301119. The next prime is 64487301121. The reversal of 64487301120 is 2110378446.

64487301120 is a `hidden beast` number, since 64 + 487 + 3 + 0 + 112 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64487301119) and next prime (64487301121).

It is a super-2 number, since 2×64487301120² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (64487301121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2080235505 + ... + 2080235535.

It is an arithmetic number, because the mean of its divisors is an integer number (204459840).

Almost surely, 2^64487301120 is an apocalyptic number.

64487301120 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 64487301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137397012480).

64487301120 is an abundant number, since it is smaller than the sum of its proper divisors (210306723840).

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

64487301120 is a wasteful number, since it uses less digits than its factorization.

64487301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 64487301120 its reverse (2110378446), we get a palindrome (66597679566).

The spelling of 64487301120 in words is "sixty-four billion, four hundred eighty-seven million, three hundred one thousand, one hundred twenty".