364946842260 has 1728 divisors, whose sum is σ = 1619160641280. Its totient is φ = 65213890560.

The previous prime is 364946842229. The next prime is 364946842261. The reversal of 364946842260 is 62248649463.

364946842260 is a `hidden beast` number, since 36 + 494 + 68 + 4 + 2 + 2 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 364946842197 and 364946842206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364946842261) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2324502102 + ... + 2324502258.

It is an arithmetic number, because the mean of its divisors is an integer number (937014260).

Almost surely, 2^364946842260 is an apocalyptic number.

364946842260 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 364946842260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809580320640).

364946842260 is an abundant number, since it is smaller than the sum of its proper divisors (1254213799020).

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

364946842260 is a wasteful number, since it uses less digits than its factorization.

364946842260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 364946842260 in words is "three hundred sixty-four billion, nine hundred forty-six million, eight hundred forty-two thousand, two hundred sixty".