363968848320 has 672 divisors, whose sum is σ = 1470056739840. Its totient is φ = 75445493760.

The previous prime is 363968848273. The next prime is 363968848339. The reversal of 363968848320 is 23848869363.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 350306361 + ... + 350307399.

Almost surely, 2^363968848320 is an apocalyptic number.

363968848320 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 363968848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735028369920).

363968848320 is an abundant number, since it is smaller than the sum of its proper divisors (1106087891520).

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

363968848320 is a wasteful number, since it uses less digits than its factorization.

363968848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 60.

The spelling of 363968848320 in words is "three hundred sixty-three billion, nine hundred sixty-eight million, eight hundred forty-eight thousand, three hundred twenty".