360272232779976 has 768 divisors, whose sum is σ = 1173103411200000. Its totient is φ = 102077923368960.

The previous prime is 360272232779959. The next prime is 360272232780007. The reversal of 360272232779976 is 679977232272063.

It is a happy number.

360272232779976 is a `hidden beast` number, since 3 + 60 + 2 + 7 + 223 + 277 + 9 + 9 + 76 = 666.

It is a super-2 number, since 2×360272232779976² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12171755625 + ... + 12171785223.

It is an arithmetic number, because the mean of its divisors is an integer number (1527478400000).

Almost surely, 2^{360272232779976} is an apocalyptic number.

360272232779976 is a gapful number since it is divisible by the number (36) 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 360272232779976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586551705600000).

360272232779976 is an abundant number, since it is smaller than the sum of its proper divisors (812831178420024).

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

360272232779976 is a wasteful number, since it uses less digits than its factorization.

360272232779976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29975 (or 29954 counting only the distinct ones).

The product of its (nonzero) digits is 1008189504, while the sum is 72.

The spelling of 360272232779976 in words is "three hundred sixty trillion, two hundred seventy-two billion, two hundred thirty-two million, seven hundred seventy-nine thousand, nine hundred seventy-six".