64424046240 has 288 divisors, whose sum is σ = 227354190336. Its totient is φ = 16595159040.

The previous prime is 64424046223. The next prime is 64424046287. The reversal of 64424046240 is 4264042446.

64424046240 is a `hidden beast` number, since 6 + 4 + 4 + 2 + 404 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 64424046195 and 64424046204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34505787 + ... + 34507653.

It is an arithmetic number, because the mean of its divisors is an integer number (789424272).

Almost surely, 2^64424046240 is an apocalyptic number.

64424046240 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 64424046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113677095168).

64424046240 is an abundant number, since it is smaller than the sum of its proper divisors (162930144096).

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

64424046240 is a wasteful number, since it uses less digits than its factorization.

64424046240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 64424046240 its reverse (4264042446), we get a palindrome (68688088686).

The spelling of 64424046240 in words is "sixty-four billion, four hundred twenty-four million, forty-six thousand, two hundred forty".