361788313320 has 512 divisors, whose sum is σ = 1429056000000. Its totient is φ = 79658836992.

The previous prime is 361788313309. The next prime is 361788313331. The reversal of 361788313320 is 23313887163.

361788313320 is a `hidden beast` number, since 3 + 6 + 1 + 7 + 8 + 8 + 313 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (361788313309) and next prime (361788313331).

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 127 ways as a sum of consecutive naturals, for example, 109399107 + ... + 109402413.

It is an arithmetic number, because the mean of its divisors is an integer number (2791125000).

Almost surely, 2^361788313320 is an apocalyptic number.

361788313320 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 361788313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714528000000).

361788313320 is an abundant number, since it is smaller than the sum of its proper divisors (1067267686680).

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

361788313320 is a wasteful number, since it uses less digits than its factorization.

361788313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 361788313320 in words is "three hundred sixty-one billion, seven hundred eighty-eight million, three hundred thirteen thousand, three hundred twenty".