336333672792 has 512 divisors, whose sum is σ = 1054064793600. Its totient is φ = 98703360000.

The previous prime is 336333672767. The next prime is 336333672799. The reversal of 336333672792 is 297276333633.

336333672792 is a `hidden beast` number, since 3 + 3 + 6 + 3 + 3 + 367 + 279 + 2 = 666.

It is a super-2 number, since 2×336333672792² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336333672799) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1339974667 + ... + 1339974917.

It is an arithmetic number, because the mean of its divisors is an integer number (2058720300).

Almost surely, 2^336333672792 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 336333672792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527032396800).

336333672792 is an abundant number, since it is smaller than the sum of its proper divisors (717731120808).

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

336333672792 is a wasteful number, since it uses less digits than its factorization.

336333672792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its digits is 15431472, while the sum is 54.

The spelling of 336333672792 in words is "three hundred thirty-six billion, three hundred thirty-three million, six hundred seventy-two thousand, seven hundred ninety-two".