64217907029640 has 576 divisors, whose sum is σ = 253264631160960. Its totient is φ = 12752248504320.

The previous prime is 64217907029621. The next prime is 64217907029743. The reversal of 64217907029640 is 4692070971246.

64217907029640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 40243800 + ... + 41809080.

It is an arithmetic number, because the mean of its divisors is an integer number (439695540210).

Almost surely, 2^{64217907029640} is an apocalyptic number.

64217907029640 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 64217907029640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126632315580480).

64217907029640 is an abundant number, since it is smaller than the sum of its proper divisors (189046724131320).

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

64217907029640 is a wasteful number, since it uses less digits than its factorization.

64217907029640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565362 (or 1565328 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 64217907029640 in words is "sixty-four trillion, two hundred seventeen billion, nine hundred seven million, twenty-nine thousand, six hundred forty".