64214922320640 has 1728 divisors, whose sum is σ = 282533385415680. Its totient is φ = 13523083591680.

The previous prime is 64214922320599. The next prime is 64214922320693. The reversal of 64214922320640 is 4602322941246.

64214922320640 is a `hidden beast` number, since 6 + 4 + 214 + 9 + 223 + 206 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 28251174544 + ... + 28251176816.

It is an arithmetic number, because the mean of its divisors is an integer number (163503116560).

Almost surely, 2^{64214922320640} is an apocalyptic number.

64214922320640 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 64214922320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141266692707840).

64214922320640 is an abundant number, since it is smaller than the sum of its proper divisors (218318463095040).

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

64214922320640 is a wasteful number, since it uses less digits than its factorization.

64214922320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 64214922320640 in words is "sixty-four trillion, two hundred fourteen billion, nine hundred twenty-two million, three hundred twenty thousand, six hundred forty".