64424082240 has 672 divisors, whose sum is σ = 266486298624. Its totient is φ = 14509393920.

The previous prime is 64424082193. The next prime is 64424082241. The reversal of 64424082240 is 4228042446.

It is a happy number.

64424082240 is a `hidden beast` number, since 6 + 4 + 4 + 2 + 408 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 64424082195 and 64424082204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64424082241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38645887 + ... + 38647553.

It is an arithmetic number, because the mean of its divisors is an integer number (396556992).

Almost surely, 2^64424082240 is an apocalyptic number.

64424082240 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 64424082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133243149312).

64424082240 is an abundant number, since it is smaller than the sum of its proper divisors (202062216384).

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

64424082240 is a wasteful number, since it uses less digits than its factorization.

64424082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 64424082240 in words is "sixty-four billion, four hundred twenty-four million, eighty-two thousand, two hundred forty".