64356618240 has 312 divisors, whose sum is σ = 225349546968. Its totient is φ = 16986931200.

The previous prime is 64356618239. The next prime is 64356618283. The reversal of 64356618240 is 4281665346.

64356618240 is a `hidden beast` number, since 6 + 4 + 3 + 5 + 6 + 618 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4992270336 + 59364347904 = 70656^2 + 243648^2 .

It is a super-2 number, since 2×64356618240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18614592 + ... + 18618048.

It is an arithmetic number, because the mean of its divisors is an integer number (722274189).

Almost surely, 2^64356618240 is an apocalyptic number.

64356618240 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 64356618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112674773484).

64356618240 is an abundant number, since it is smaller than the sum of its proper divisors (160992928728).

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

64356618240 is a wasteful number, since it uses less digits than its factorization.

64356618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 64356618240 in words is "sixty-four billion, three hundred fifty-six million, six hundred eighteen thousand, two hundred forty".