64238106240 has 1920 divisors, whose sum is σ = 308974564800. Its totient is φ = 12645642240.

The previous prime is 64238106217. The next prime is 64238106241. The reversal of 64238106240 is 4260183246.

64238106240 is a `hidden beast` number, since 6 + 4 + 23 + 8 + 1 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 64238106195 and 64238106204.

It is not an unprimeable number, because it can be changed into a prime (64238106241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3380952951 + ... + 3380952969.

Almost surely, 2^64238106240 is an apocalyptic number.

64238106240 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 64238106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154487282400).

64238106240 is an abundant number, since it is smaller than the sum of its proper divisors (244736458560).

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

64238106240 is a wasteful number, since it uses less digits than its factorization.

64238106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 64238106240 its reverse (4260183246), we get a palindrome (68498289486).

The spelling of 64238106240 in words is "sixty-four billion, two hundred thirty-eight million, one hundred six thousand, two hundred forty".