10362670728060 has 192 divisors, whose sum is σ = 34609671419904. Its totient is φ = 2265145344000.

The previous prime is 10362670728029. The next prime is 10362670728079. The reversal of 10362670728060 is 6082707626301.

It is a super-3 number, since 3×10362670728060³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

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, 46265940 + ... + 46489380.

It is an arithmetic number, because the mean of its divisors is an integer number (180258705312).

Almost surely, 2^{10362670728060} is an apocalyptic number.

10362670728060 is a gapful number since it is divisible by the number (10) 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 10362670728060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17304835709952).

10362670728060 is an abundant number, since it is smaller than the sum of its proper divisors (24247000691844).

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

10362670728060 is a wasteful number, since it uses less digits than its factorization.

10362670728060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228284 (or 228282 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 10362670728060 in words is "ten trillion, three hundred sixty-two billion, six hundred seventy million, seven hundred twenty-eight thousand, sixty".