368790019200 has 672 divisors, whose sum is σ = 1376378284500. Its totient is φ = 97591910400.

The previous prime is 368790019001. The next prime is 368790019201. The reversal of 368790019200 is 2910097863.

368790019200 is a `hidden beast` number, since 368 + 79 + 0 + 0 + 19 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 86676070464 + 282113948736 = 294408^2 + 531144^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (368790019201) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 347586670 + ... + 347587730.

Almost surely, 2^368790019200 is an apocalyptic number.

368790019200 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 368790019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688189142250).

368790019200 is an abundant number, since it is smaller than the sum of its proper divisors (1007588265300).

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

368790019200 is a wasteful number, since it uses less digits than its factorization.

368790019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 368790019200 in words is "three hundred sixty-eight billion, seven hundred ninety million, nineteen thousand, two hundred".