360436992056064 has 1296 divisors, whose sum is σ = 1374833919513600. Its totient is φ = 89702000640000.

The previous prime is 360436992056039. The next prime is 360436992056137. The reversal of 360436992056064 is 460650299634063.

360436992056064 is a `hidden beast` number, since 3 + 6 + 0 + 4 + 3 + 6 + 9 + 9 + 2 + 0 + 560 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 360436992055992 and 360436992056010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3888204787 + ... + 3888297485.

It is an arithmetic number, because the mean of its divisors is an integer number (1060828641600).

Almost surely, 2^{360436992056064} 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 360436992056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687416959756800).

360436992056064 is an abundant number, since it is smaller than the sum of its proper divisors (1014396927457536).

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

360436992056064 is a wasteful number, since it uses less digits than its factorization.

360436992056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92878 (or 92854 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 63.

The spelling of 360436992056064 in words is "three hundred sixty trillion, four hundred thirty-six billion, nine hundred ninety-two million, fifty-six thousand, sixty-four".