336340404580608 has 576 divisors, whose sum is σ = 1023948509552640. Its totient is φ = 108849213849600.

The previous prime is 336340404580577. The next prime is 336340404580651. The reversal of 336340404580608 is 806085404043633.

336340404580608 is a `hidden beast` number, since 3 + 3 + 63 + 40 + 404 + 5 + 80 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×336340404580608² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20722091853 + ... + 20722108083.

It is an arithmetic number, because the mean of its divisors is an integer number (1777688384640).

Almost surely, 2^{336340404580608} 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 336340404580608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511974254776320).

336340404580608 is an abundant number, since it is smaller than the sum of its proper divisors (687608104972032).

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

336340404580608 is a wasteful number, since it uses less digits than its factorization.

336340404580608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16811 (or 16791 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 336340404580608 in words is "three hundred thirty-six trillion, three hundred forty billion, four hundred four million, five hundred eighty thousand, six hundred eight".