361392328080 has 800 divisors, whose sum is σ = 1524191302656. Its totient is φ = 77472350208.

The previous prime is 361392328039. The next prime is 361392328109. The reversal of 361392328080 is 80823293163.

361392328080 is a `hidden beast` number, since 3 + 613 + 9 + 2 + 3 + 28 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 283000402 + ... + 283001678.

Almost surely, 2^361392328080 is an apocalyptic number.

361392328080 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 361392328080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762095651328).

361392328080 is an abundant number, since it is smaller than the sum of its proper divisors (1162798974576).

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

361392328080 is a wasteful number, since it uses less digits than its factorization.

361392328080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 361392328080 in words is "three hundred sixty-one billion, three hundred ninety-two million, three hundred twenty-eight thousand, eighty".