64867605663744 has 780 divisors, whose sum is σ = 222177229972236. Its totient is φ = 18784912932864.

The previous prime is 64867605663703. The next prime is 64867605663793. The reversal of 64867605663744 is 44736650676846.

64867605663744 is a `hidden beast` number, since 6 + 4 + 8 + 6 + 7 + 605 + 6 + 6 + 3 + 7 + 4 + 4 = 666.

64867605663744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9981555609600 + 54886050054144 = 3159360^2 + 7408512^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 953158422 + ... + 953226474.

Almost surely, 2^{64867605663744} is an apocalyptic number.

64867605663744 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 64867605663744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111088614986118).

64867605663744 is an abundant number, since it is smaller than the sum of its proper divisors (157309624308492).

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

64867605663744 is a wasteful number, since it uses less digits than its factorization.

64867605663744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68132 (or 68088 counting only the distinct ones).

The product of its (nonzero) digits is 2926264320, while the sum is 72.

The spelling of 64867605663744 in words is "sixty-four trillion, eight hundred sixty-seven billion, six hundred five million, six hundred sixty-three thousand, seven hundred forty-four".