364010161800 has 192 divisors, whose sum is σ = 1168592705280. Its totient is φ = 93669085440.

The previous prime is 364010161799. The next prime is 364010161813. The reversal of 364010161800 is 8161010463.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2056407 + ... + 2226393.

It is an arithmetic number, because the mean of its divisors is an integer number (6086420340).

Almost surely, 2^364010161800 is an apocalyptic number.

364010161800 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 364010161800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584296352640).

364010161800 is an abundant number, since it is smaller than the sum of its proper divisors (804582543480).

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

364010161800 is a wasteful number, since it uses less digits than its factorization.

364010161800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170132 (or 170123 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 364010161800 in words is "three hundred sixty-four billion, ten million, one hundred sixty-one thousand, eight hundred".