363899796480 has 440 divisors, whose sum is σ = 1422575423280. Its totient is φ = 88217026560.

The previous prime is 363899796461. The next prime is 363899796497. The reversal of 363899796480 is 84697998363.

363899796480 is a `hidden beast` number, since 3 + 63 + 89 + 9 + 7 + 9 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (440).

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 = 363899796399 and 363899796408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4522036 + ... + 4601804.

It is an arithmetic number, because the mean of its divisors is an integer number (3233125962).

Almost surely, 2^363899796480 is an apocalyptic number.

363899796480 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 363899796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711287711640).

363899796480 is an abundant number, since it is smaller than the sum of its proper divisors (1058675626800).

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

363899796480 is a wasteful number, since it uses less digits than its factorization.

363899796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79817 (or 79790 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 363899796480 in words is "three hundred sixty-three billion, eight hundred ninety-nine million, seven hundred ninety-six thousand, four hundred eighty".