336172673760 has 1152 divisors, whose sum is σ = 1382871232512. Its totient is φ = 67151462400.

The previous prime is 336172673701. The next prime is 336172673813. The reversal of 336172673760 is 67376271633.

336172673760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×336172673760² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1394907240 + ... + 1394907480.

It is an arithmetic number, because the mean of its divisors is an integer number (1200409056).

Almost surely, 2^336172673760 is an apocalyptic number.

336172673760 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 336172673760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691435616256).

336172673760 is an abundant number, since it is smaller than the sum of its proper divisors (1046698558752).

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

336172673760 is a wasteful number, since it uses less digits than its factorization.

336172673760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 51.

The spelling of 336172673760 in words is "three hundred thirty-six billion, one hundred seventy-two million, six hundred seventy-three thousand, seven hundred sixty".