368398153728 has 768 divisors, whose sum is σ = 1268047872000. Its totient is φ = 104509440000.

The previous prime is 368398153687. The next prime is 368398153763. The reversal of 368398153728 is 827351893863.

368398153728 is a `hidden beast` number, since 3 + 6 + 8 + 3 + 98 + 1 + 537 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1467721603 + ... + 1467721853.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104000).

Almost surely, 2^368398153728 is an apocalyptic number.

368398153728 is a gapful number since it is divisible by the number (38) 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 368398153728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634023936000).

368398153728 is an abundant number, since it is smaller than the sum of its proper divisors (899649718272).

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

368398153728 is a wasteful number, since it uses less digits than its factorization.

368398153728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 413 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 368398153728 in words is "three hundred sixty-eight billion, three hundred ninety-eight million, one hundred fifty-three thousand, seven hundred twenty-eight".