360034547256072 has 256 divisors, whose sum is σ = 1135939442400000. Its totient is φ = 104743146498048.

The previous prime is 360034547256047. The next prime is 360034547256143. The reversal of 360034547256072 is 270652745430063.

360034547256072 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 3 + 4 + 5 + 4 + 7 + 2 + 560 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20527204 + ... + 33785132.

It is an arithmetic number, because the mean of its divisors is an integer number (4437263446875).

Almost surely, 2^{360034547256072} 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 360034547256072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567969721200000).

360034547256072 is an abundant number, since it is smaller than the sum of its proper divisors (775904895143928).

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

360034547256072 is a wasteful number, since it uses less digits than its factorization.

360034547256072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13258485 (or 13258475 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 54.

The spelling of 360034547256072 in words is "three hundred sixty trillion, thirty-four billion, five hundred forty-seven million, two hundred fifty-six thousand, seventy-two".