361640664 has 384 divisors, whose sum is σ = 1314593280. Its totient is φ = 87091200.

The previous prime is 361640659. The next prime is 361640683. The reversal of 361640664 is 466046163.

361640664 is a `hidden beast` number, since 3 + 6 + 1 + 640 + 6 + 6 + 4 = 666.

361640664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 8410227 + ... + 8410269.

It is an arithmetic number, because the mean of its divisors is an integer number (3423420).

Almost surely, 2^361640664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361640664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657296640).

361640664 is an abundant number, since it is smaller than the sum of its proper divisors (952952616).

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

361640664 is a wasteful number, since it uses less digits than its factorization.

361640664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 361640664 is about 19016.8521054353. The cubic root of 361640664 is about 712.4577023829.

The spelling of 361640664 in words is "three hundred sixty-one million, six hundred forty thousand, six hundred sixty-four".