336612036960 has 288 divisors, whose sum is σ = 1200629993472. Its totient is φ = 89055106560.

The previous prime is 336612036953. The next prime is 336612036973. The reversal of 336612036960 is 69630216633.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×336612036960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4903675 + ... + 4971845.

It is an arithmetic number, because the mean of its divisors is an integer number (4168854144).

Almost surely, 2^336612036960 is an apocalyptic number.

336612036960 is a gapful number since it is divisible by the number (30) 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 336612036960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600314996736).

336612036960 is an abundant number, since it is smaller than the sum of its proper divisors (864017956512).

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

336612036960 is a wasteful number, since it uses less digits than its factorization.

336612036960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68328 (or 68308 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 336612036960 in words is "three hundred thirty-six billion, six hundred twelve million, thirty-six thousand, nine hundred sixty".