64342840320 has 1408 divisors, whose sum is σ = 280147507200. Its totient is φ = 13801881600.

The previous prime is 64342840259. The next prime is 64342840379. The reversal of 64342840320 is 2304824346.

64342840320 is a `hidden beast` number, since 643 + 4 + 2 + 8 + 4 + 0 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×64342840320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 491166655 + ... + 491166785.

It is an arithmetic number, because the mean of its divisors is an integer number (198968400).

Almost surely, 2^64342840320 is an apocalyptic number.

64342840320 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 64342840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140073753600).

64342840320 is an abundant number, since it is smaller than the sum of its proper divisors (215804666880).

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

64342840320 is a wasteful number, since it uses less digits than its factorization.

64342840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 64342840320 in words is "sixty-four billion, three hundred forty-two million, eight hundred forty thousand, three hundred twenty".