364189846464 has 336 divisors, whose sum is σ = 1150899684480. Its totient is φ = 113859302400.

The previous prime is 364189846457. The next prime is 364189846513. The reversal of 364189846464 is 464648981463.

It is a happy number.

364189846464 is a `hidden beast` number, since 3 + 6 + 41 + 8 + 98 + 46 + 464 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29838187 + ... + 29850389.

It is an arithmetic number, because the mean of its divisors is an integer number (3425296680).

Almost surely, 2^364189846464 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 364189846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575449842240).

364189846464 is an abundant number, since it is smaller than the sum of its proper divisors (786709838016).

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

364189846464 is a wasteful number, since it uses less digits than its factorization.

364189846464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12350 (or 12328 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 364189846464 in words is "three hundred sixty-four billion, one hundred eighty-nine million, eight hundred forty-six thousand, four hundred sixty-four".