368473827456 has 192 divisors, whose sum is σ = 1227137683200. Its totient is φ = 103945420800.

The previous prime is 368473827373. The next prime is 368473827457. The reversal of 368473827456 is 654728374863.

368473827456 is a `hidden beast` number, since 3 + 68 + 47 + 3 + 82 + 7 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 368473827393 and 368473827402.

It is not an unprimeable number, because it can be changed into a prime (368473827457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347856 + ... + 926256.

It is an arithmetic number, because the mean of its divisors is an integer number (6391342100).

Almost surely, 2^368473827456 is an apocalyptic number.

368473827456 is a gapful number since it is divisible by the number (36) 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 368473827456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613568841600).

368473827456 is an abundant number, since it is smaller than the sum of its proper divisors (858663855744).

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

368473827456 is a wasteful number, since it uses less digits than its factorization.

368473827456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578507 (or 578492 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 368473827456 in words is "three hundred sixty-eight billion, four hundred seventy-three million, eight hundred twenty-seven thousand, four hundred fifty-six".