361368633600 has 324 divisors, whose sum is σ = 1391359955076. Its totient is φ = 88952094720.

The previous prime is 361368633541. The next prime is 361368633623. The reversal of 361368633600 is 6336863163.

361368633600 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 6 + 8 + 6 + 33 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 42614784 + 361326018816 = 6528^2 + 601104^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 507502 + ... + 990098.

It is an arithmetic number, because the mean of its divisors is an integer number (4294320849).

Almost surely, 2^361368633600 is an apocalyptic number.

361368633600 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 361368633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695679977538).

361368633600 is an abundant number, since it is smaller than the sum of its proper divisors (1029991321476).

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

361368633600 is a wasteful number, since it uses less digits than its factorization.

361368633600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482642 (or 482620 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 361368633600 in words is "three hundred sixty-one billion, three hundred sixty-eight million, six hundred thirty-three thousand, six hundred".