366735166560 has 288 divisors, whose sum is σ = 1465153365312. Its totient is φ = 81780572160.

The previous prime is 366735166537. The next prime is 366735166573. The reversal of 366735166560 is 65661537663.

366735166560 is a `hidden beast` number, since 3 + 6 + 6 + 7 + 3 + 516 + 65 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 366735166497 and 366735166506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30409 + ... + 856968.

It is an arithmetic number, because the mean of its divisors is an integer number (5087338074).

Almost surely, 2^366735166560 is an apocalyptic number.

366735166560 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 366735166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732576682656).

366735166560 is an abundant number, since it is smaller than the sum of its proper divisors (1098418198752).

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

366735166560 is a wasteful number, since it uses less digits than its factorization.

366735166560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887446 (or 887435 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 366735166560 in words is "three hundred sixty-six billion, seven hundred thirty-five million, one hundred sixty-six thousand, five hundred sixty".