360397757446272 has 1536 divisors, whose sum is σ = 1353354510144000. Its totient is φ = 89394914525184.

The previous prime is 360397757446271. The next prime is 360397757446283. The reversal of 360397757446272 is 272644757793063.

360397757446272 is a `hidden beast` number, since 3 + 6 + 0 + 3 + 9 + 7 + 7 + 574 + 46 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 360397757446272.

It is not an unprimeable number, because it can be changed into a prime (360397757446271) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 337135413354 + ... + 337135414422.

It is an arithmetic number, because the mean of its divisors is an integer number (881090175875).

Almost surely, 2^{360397757446272} is an apocalyptic number.

360397757446272 is a gapful number since it is divisible by the number (32) 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 360397757446272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676677255072000).

360397757446272 is an abundant number, since it is smaller than the sum of its proper divisors (992956752697728).

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

360397757446272 is a wasteful number, since it uses less digits than its factorization.

360397757446272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 2240421120, while the sum is 72.

The spelling of 360397757446272 in words is "three hundred sixty trillion, three hundred ninety-seven billion, seven hundred fifty-seven million, four hundred forty-six thousand, two hundred seventy-two".