361166574720 has 512 divisors, whose sum is σ = 1341299151360. Its totient is φ = 80953344000.

The previous prime is 361166574701. The next prime is 361166574731. The reversal of 361166574720 is 27475661163.

It is a happy number.

It is a super-3 number, since 3×361166574720³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 361166574720.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 492723474 + ... + 492724206.

It is an arithmetic number, because the mean of its divisors is an integer number (2619724905).

Almost surely, 2^361166574720 is an apocalyptic number.

361166574720 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 361166574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670649575680).

361166574720 is an abundant number, since it is smaller than the sum of its proper divisors (980132576640).

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

361166574720 is a wasteful number, since it uses less digits than its factorization.

361166574720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 361166574720 in words is "three hundred sixty-one billion, one hundred sixty-six million, five hundred seventy-four thousand, seven hundred twenty".