368268405120 has 2304 divisors, whose sum is σ = 1769226001920. Its totient is φ = 70946979840.

The previous prime is 368268405119. The next prime is 368268405121. The reversal of 368268405120 is 21504862863.

368268405120 is a `hidden beast` number, since 3 + 68 + 2 + 68 + 405 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (368268405119) and next prime (368268405121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368268405121) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5496543327 + ... + 5496543393.

It is an arithmetic number, because the mean of its divisors is an integer number (767893230).

Almost surely, 2^368268405120 is an apocalyptic number.

368268405120 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 368268405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884613000960).

368268405120 is an abundant number, since it is smaller than the sum of its proper divisors (1400957596800).

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

368268405120 is an equidigital number, since it uses as much as digits as its factorization.

368268405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 368268405120 in words is "three hundred sixty-eight billion, two hundred sixty-eight million, four hundred five thousand, one hundred twenty".