361715661600 has 288 divisors, whose sum is σ = 1240233120000. Its totient is φ = 91315860480.

The previous prime is 361715661553. The next prime is 361715661607. The reversal of 361715661600 is 6166517163.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (361715661607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123072931 + ... + 123075869.

It is an arithmetic number, because the mean of its divisors is an integer number (4306365000).

Almost surely, 2^361715661600 is an apocalyptic number.

361715661600 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 361715661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620116560000).

361715661600 is an abundant number, since it is smaller than the sum of its proper divisors (878517458400).

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

361715661600 is a wasteful number, since it uses less digits than its factorization.

361715661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5680 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 361715661600 in words is "three hundred sixty-one billion, seven hundred fifteen million, six hundred sixty-one thousand, six hundred".