361783836720 has 400 divisors, whose sum is σ = 1331914082400. Its totient is φ = 90700259328.

The previous prime is 361783836679. The next prime is 361783836767. The reversal of 361783836720 is 27638387163.

361783836720 is a `hidden beast` number, since 36 + 178 + 383 + 67 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 187160874 + ... + 187162806.

It is an arithmetic number, because the mean of its divisors is an integer number (3329785206).

Almost surely, 2^361783836720 is an apocalyptic number.

361783836720 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 361783836720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665957041200).

361783836720 is an abundant number, since it is smaller than the sum of its proper divisors (970130245680).

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

361783836720 is a wasteful number, since it uses less digits than its factorization.

361783836720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 361783836720 in words is "three hundred sixty-one billion, seven hundred eighty-three million, eight hundred thirty-six thousand, seven hundred twenty".