360742712000 has 224 divisors, whose sum is σ = 980471471616. Its totient is φ = 130388352000.

The previous prime is 360742711991. The next prime is 360742712003. The reversal of 360742712000 is 217247063.

It is a super-2 number, since 2×360742712000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (360742712003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14683727 + ... + 14708273.

It is an arithmetic number, because the mean of its divisors is an integer number (4377104784).

Almost surely, 2^360742712000 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 360742712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490235735808).

360742712000 is an abundant number, since it is smaller than the sum of its proper divisors (619728759616).

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

360742712000 is a wasteful number, since it uses less digits than its factorization.

360742712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24752 (or 24732 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

Adding to 360742712000 its reverse (217247063), we get a palindrome (360959959063).

The spelling of 360742712000 in words is "three hundred sixty billion, seven hundred forty-two million, seven hundred twelve thousand".