362299749768 has 288 divisors, whose sum is σ = 1109562373920. Its totient is φ = 106657689600.

The previous prime is 362299749761. The next prime is 362299749769. The reversal of 362299749768 is 867947992263.

It is a super-2 number, since 2×362299749768² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 362299749696 and 362299749705.

It is not an unprimeable number, because it can be changed into a prime (362299749761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72298383 + ... + 72303393.

Almost surely, 2^362299749768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 362299749768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554781186960).

362299749768 is an abundant number, since it is smaller than the sum of its proper divisors (747262624152).

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

362299749768 is a wasteful number, since it uses less digits than its factorization.

362299749768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5281 (or 5263 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 362299749768 in words is "three hundred sixty-two billion, two hundred ninety-nine million, seven hundred forty-nine thousand, seven hundred sixty-eight".