368964342104064 has 2160 divisors, whose sum is σ = 1281930601190400. Its totient is φ = 93823114936320.

The previous prime is 368964342104051. The next prime is 368964342104069. The reversal of 368964342104064 is 460401243469863.

It is a super-2 number, since 2×368964342104064² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 368964342103989 and 368964342104007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368964342104069) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1543783858057 + ... + 1543783858295.

It is an arithmetic number, because the mean of its divisors is an integer number (593486389440).

Almost surely, 2^{368964342104064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368964342104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640965300595200).

368964342104064 is an abundant number, since it is smaller than the sum of its proper divisors (912966259086336).

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

368964342104064 is a wasteful number, since it uses less digits than its factorization.

368964342104064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 60.

The spelling of 368964342104064 in words is "three hundred sixty-eight trillion, nine hundred sixty-four billion, three hundred forty-two million, one hundred four thousand, sixty-four".