363967672320 has 1664 divisors, whose sum is σ = 1604125440000. Its totient is φ = 78033715200.

The previous prime is 363967672307. The next prime is 363967672381. The reversal of 363967672320 is 23276769363.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3603640270 + ... + 3603640370.

Almost surely, 2^363967672320 is an apocalyptic number.

363967672320 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 363967672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802062720000).

363967672320 is an abundant number, since it is smaller than the sum of its proper divisors (1240157767680).

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

363967672320 is a wasteful number, since it uses less digits than its factorization.

363967672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 54.

The spelling of 363967672320 in words is "three hundred sixty-three billion, nine hundred sixty-seven million, six hundred seventy-two thousand, three hundred twenty".