64754202240 has 1536 divisors, whose sum is σ = 299934835200. Its totient is φ = 12559712256.

The previous prime is 64754202217. The next prime is 64754202241. The reversal of 64754202240 is 4220245746.

64754202240 is a `hidden beast` number, since 6 + 4 + 7 + 5 + 420 + 224 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 64754202195 and 64754202204.

It is not an unprimeable number, because it can be changed into a prime (64754202241) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1505911659 + ... + 1505911701.

It is an arithmetic number, because the mean of its divisors is an integer number (195270075).

Almost surely, 2^64754202240 is an apocalyptic number.

64754202240 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 64754202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149967417600).

64754202240 is an abundant number, since it is smaller than the sum of its proper divisors (235180632960).

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

64754202240 is a wasteful number, since it uses less digits than its factorization.

64754202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 64754202240 its reverse (4220245746), we get a palindrome (68974447986).

The spelling of 64754202240 in words is "sixty-four billion, seven hundred fifty-four million, two hundred two thousand, two hundred forty".