361820602080 has 768 divisors, whose sum is σ = 1501403904000. Its totient is φ = 81325762560.

The previous prime is 361820602069. The next prime is 361820602097. The reversal of 361820602080 is 80206028163.

361820602080 is a `hidden beast` number, since 36 + 18 + 2 + 0 + 602 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 90385359 + ... + 90389361.

It is an arithmetic number, because the mean of its divisors is an integer number (1954953000).

Almost surely, 2^361820602080 is an apocalyptic number.

361820602080 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 361820602080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750701952000).

361820602080 is an abundant number, since it is smaller than the sum of its proper divisors (1139583301920).

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

361820602080 is a wasteful number, since it uses less digits than its factorization.

361820602080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 361820602080 in words is "three hundred sixty-one billion, eight hundred twenty million, six hundred two thousand, eighty".