64649420642304 has 288 divisors, whose sum is σ = 200312040474000. Its totient is φ = 20806705446912.

The previous prime is 64649420642293. The next prime is 64649420642309. The reversal of 64649420642304 is 40324602494646.

64649420642304 is a `hidden beast` number, since 6 + 4 + 6 + 4 + 9 + 4 + 206 + 423 + 0 + 4 = 666.

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

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64649420642309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12192502 + ... + 16672010.

Almost surely, 2^{64649420642304} is an apocalyptic number.

64649420642304 is a gapful number since it is divisible by the number (64) 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 64649420642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100156020237000).

64649420642304 is an abundant number, since it is smaller than the sum of its proper divisors (135662619831696).

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

64649420642304 is an equidigital number, since it uses as much as digits as its factorization.

64649420642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4479575 (or 4479543 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 54.

The spelling of 64649420642304 in words is "sixty-four trillion, six hundred forty-nine billion, four hundred twenty million, six hundred forty-two thousand, three hundred four".