361806664826880 has 4864 divisors, whose sum is σ = 1710306402201600. Its totient is φ = 71328803586048.

The previous prime is 361806664826857. The next prime is 361806664826897. The reversal of 361806664826880 is 88628466608163.

It is a tau number, because it is divible by the number of its divisors (4864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 361806664826799 and 361806664826808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4956255682524 + ... + 4956255682596.

Almost surely, 2^{361806664826880} is an apocalyptic number.

361806664826880 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 361806664826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855153201100800).

361806664826880 is an abundant number, since it is smaller than the sum of its proper divisors (1348499737374720).

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

361806664826880 is an frugal number, since it uses more digits than its factorization.

361806664826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 72.

The spelling of 361806664826880 in words is "three hundred sixty-one trillion, eight hundred six billion, six hundred sixty-four million, eight hundred twenty-six thousand, eight hundred eighty".