364164460800 has 864 divisors, whose sum is σ = 1430525940480. Its totient is φ = 79822848000.

The previous prime is 364164460769. The next prime is 364164460817. The reversal of 364164460800 is 8064461463.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 908140600 + ... + 908141000.

It is an arithmetic number, because the mean of its divisors is an integer number (1655701320).

Almost surely, 2^364164460800 is an apocalyptic number.

364164460800 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 364164460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715262970240).

364164460800 is an abundant number, since it is smaller than the sum of its proper divisors (1066361479680).

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

364164460800 is a wasteful number, since it uses less digits than its factorization.

364164460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 364164460800 in words is "three hundred sixty-four billion, one hundred sixty-four million, four hundred sixty thousand, eight hundred".