361804297003776 has 1296 divisors, whose sum is σ = 1200970628049920. Its totient is φ = 108548879155200.

The previous prime is 361804297003759. The next prime is 361804297003841. The reversal of 361804297003776 is 677300792408163.

361804297003776 is a `hidden beast` number, since 3 + 61 + 80 + 42 + 97 + 0 + 0 + 377 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 393693467445 + ... + 393693468363.

Almost surely, 2^{361804297003776} is an apocalyptic number.

361804297003776 is a gapful number since it is divisible by the number (36) 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 361804297003776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600485314024960).

361804297003776 is an abundant number, since it is smaller than the sum of its proper divisors (839166331046144).

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

361804297003776 is a wasteful number, since it uses less digits than its factorization.

361804297003776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 361804297003776 in words is "three hundred sixty-one trillion, eight hundred four billion, two hundred ninety-seven million, three thousand, seven hundred seventy-six".