360351670536 has 320 divisors, whose sum is σ = 1200084621120. Its totient is φ = 99581114880.

The previous prime is 360351670507. The next prime is 360351670559. The reversal of 360351670536 is 635076153063.

360351670536 is a `hidden beast` number, since 3 + 6 + 0 + 3 + 51 + 67 + 0 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 360351670491 and 360351670500.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7667686 + ... + 7714538.

It is an arithmetic number, because the mean of its divisors is an integer number (3750264441).

Almost surely, 2^360351670536 is an apocalyptic number.

360351670536 is a gapful number since it is divisible by the number (36) 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 360351670536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600042310560).

360351670536 is an abundant number, since it is smaller than the sum of its proper divisors (839732950584).

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

360351670536 is a wasteful number, since it uses less digits than its factorization.

360351670536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46978 (or 46965 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 360351670536 in words is "three hundred sixty billion, three hundred fifty-one million, six hundred seventy thousand, five hundred thirty-six".