364363405600 has 288 divisors, whose sum is σ = 939269882880. Its totient is φ = 137754608640.

The previous prime is 364363405589. The next prime is 364363405613. The reversal of 364363405600 is 6504363463.

It is a happy number.

It is a super-2 number, since 2×364363405600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 869602191 + ... + 869602609.

It is an arithmetic number, because the mean of its divisors is an integer number (3261353760).

Almost surely, 2^364363405600 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 364363405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469634941440).

364363405600 is an abundant number, since it is smaller than the sum of its proper divisors (574906477280).

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

364363405600 is a wasteful number, since it uses less digits than its factorization.

364363405600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 40.

The spelling of 364363405600 in words is "three hundred sixty-four billion, three hundred sixty-three million, four hundred five thousand, six hundred".