363899299680 has 1152 divisors, whose sum is σ = 1571582476800. Its totient is φ = 78193963008.

The previous prime is 363899299657. The next prime is 363899299681. The reversal of 363899299680 is 86992998363.

363899299680 is a `hidden beast` number, since 363 + 89 + 9 + 29 + 96 + 80 = 666.

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 = 363899299599 and 363899299608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363899299681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 695791899 + ... + 695792421.

It is an arithmetic number, because the mean of its divisors is an integer number (1364220900).

Almost surely, 2^363899299680 is an apocalyptic number.

363899299680 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 363899299680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785791238400).

363899299680 is an abundant number, since it is smaller than the sum of its proper divisors (1207683177120).

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

363899299680 is a wasteful number, since it uses less digits than its factorization.

363899299680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 272097792, while the sum is 72.

The spelling of 363899299680 in words is "three hundred sixty-three billion, eight hundred ninety-nine million, two hundred ninety-nine thousand, six hundred eighty".