36345062160 has 480 divisors, whose sum is σ = 138385428480. Its totient is φ = 8468812800.

The previous prime is 36345062153. The next prime is 36345062179. The reversal of 36345062160 is 6126054363.

36345062160 is a `hidden beast` number, since 3 + 634 + 5 + 0 + 6 + 2 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43947667 + ... + 43948493.

It is an arithmetic number, because the mean of its divisors is an integer number (288302976).

Almost surely, 2^36345062160 is an apocalyptic number.

36345062160 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 36345062160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69192714240).

36345062160 is an abundant number, since it is smaller than the sum of its proper divisors (102040366320).

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

36345062160 is a wasteful number, since it uses less digits than its factorization.

36345062160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 36345062160 in words is "thirty-six billion, three hundred forty-five million, sixty-two thousand, one hundred sixty".