363605372868672 has 336 divisors, whose sum is σ = 1204280845964352. Its totient is φ = 103663675146240.

The previous prime is 363605372868671. The next prime is 363605372868767. The reversal of 363605372868672 is 276868273506363.

363605372868672 is a `hidden beast` number, since 3 + 6 + 3 + 6 + 0 + 537 + 2 + 8 + 6 + 86 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 363605372868672.

It is not an unprimeable number, because it can be changed into a prime (363605372868671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290952868 + ... + 292199900.

Almost surely, 2^{363605372868672} is an apocalyptic number.

363605372868672 is a gapful number since it is divisible by the number (32) 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 363605372868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602140422982176).

363605372868672 is an abundant number, since it is smaller than the sum of its proper divisors (840675473095680).

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

363605372868672 is a wasteful number, since it uses less digits than its factorization.

363605372868672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249786 (or 1249773 counting only the distinct ones).

The product of its (nonzero) digits is 2194698240, while the sum is 72.

The spelling of 363605372868672 in words is "three hundred sixty-three trillion, six hundred five billion, three hundred seventy-two million, eight hundred sixty-eight thousand, six hundred seventy-two".