366516648960 has 704 divisors, whose sum is σ = 1547602744320. Its totient is φ = 71675412480.

The previous prime is 366516648947. The next prime is 366516648989. The reversal of 366516648960 is 69846615663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 366516648894 and 366516648903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20097126 + ... + 20115354.

Almost surely, 2^366516648960 is an apocalyptic number.

366516648960 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 366516648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773801372160).

366516648960 is an abundant number, since it is smaller than the sum of its proper divisors (1181086095360).

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

366516648960 is a wasteful number, since it uses less digits than its factorization.

366516648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18292 (or 18274 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 60.

The spelling of 366516648960 in words is "three hundred sixty-six billion, five hundred sixteen million, six hundred forty-eight thousand, nine hundred sixty".