64747824906240 has 1920 divisors, whose sum is σ = 285960898250280. Its totient is φ = 13926565675008.

The previous prime is 64747824906179. The next prime is 64747824906241. The reversal of 64747824906240 is 4260942874746.

64747824906240 is a `hidden beast` number, since 6 + 4 + 7 + 4 + 7 + 82 + 490 + 62 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64638512676864 + 109312229376 = 8039808^2 + 330624^2 .

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

It is a super-2 number, since 2×64747824906240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (64747824906241) 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 119 ways as a sum of consecutive naturals, for example, 11054773392 + ... + 11054779248.

Almost surely, 2^{64747824906240} is an apocalyptic number.

64747824906240 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 64747824906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142980449125140).

64747824906240 is an abundant number, since it is smaller than the sum of its proper divisors (221213073344040).

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

64747824906240 is an equidigital number, since it uses as much as digits as its factorization.

64747824906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 64747824906240 in words is "sixty-four trillion, seven hundred forty-seven billion, eight hundred twenty-four million, nine hundred six thousand, two hundred forty".