369649768320 has 512 divisors, whose sum is σ = 1531018368000. Its totient is φ = 82525298688.

The previous prime is 369649768309. The next prime is 369649768321. The reversal of 369649768320 is 23867946963.

369649768320 is a `hidden beast` number, since 3 + 69 + 6 + 497 + 6 + 83 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369649768321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5165746 + ... + 5236814.

It is an arithmetic number, because the mean of its divisors is an integer number (2990270250).

Almost surely, 2^369649768320 is an apocalyptic number.

369649768320 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 369649768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765509184000).

369649768320 is an abundant number, since it is smaller than the sum of its proper divisors (1161368599680).

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

369649768320 is a wasteful number, since it uses less digits than its factorization.

369649768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71147 (or 71129 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 369649768320 in words is "three hundred sixty-nine billion, six hundred forty-nine million, seven hundred sixty-eight thousand, three hundred twenty".