361913764608 has 1008 divisors, whose sum is σ = 1255952904192. Its totient is φ = 103874918400.

The previous prime is 361913764579. The next prime is 361913764669. The reversal of 361913764608 is 806467319163.

It is a happy number.

361913764608 is a `hidden beast` number, since 3 + 6 + 19 + 13 + 7 + 6 + 4 + 608 = 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 (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7700292841 + ... + 7700292887.

It is an arithmetic number, because the mean of its divisors is an integer number (1245985024).

Almost surely, 2^361913764608 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 361913764608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627976452096).

361913764608 is an abundant number, since it is smaller than the sum of its proper divisors (894039139584).

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

361913764608 is an frugal number, since it uses more digits than its factorization.

361913764608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 361913764608 in words is "three hundred sixty-one billion, nine hundred thirteen million, seven hundred sixty-four thousand, six hundred eight".