363958232960 has 512 divisors, whose sum is σ = 1062236160000. Its totient is φ = 119055605760.

The previous prime is 363958232909. The next prime is 363958232971. The reversal of 363958232960 is 69232859363.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 363958232896 and 363958232905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 537604142 + ... + 537604818.

It is an arithmetic number, because the mean of its divisors is an integer number (2074680000).

Almost surely, 2^363958232960 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 363958232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531118080000).

363958232960 is an abundant number, since it is smaller than the sum of its proper divisors (698277927040).

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

363958232960 is an equidigital number, since it uses as much as digits as its factorization.

363958232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 56.

The spelling of 363958232960 in words is "three hundred sixty-three billion, nine hundred fifty-eight million, two hundred thirty-two thousand, nine hundred sixty".