369431465760 has 384 divisors, whose sum is σ = 1478586493440. Its totient is φ = 84392312832.

The previous prime is 369431465749. The next prime is 369431465761. The reversal of 369431465760 is 67564134963.

369431465760 is a `hidden beast` number, since 3 + 6 + 94 + 31 + 465 + 7 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 369431465697 and 369431465706.

It is not an unprimeable number, because it can be changed into a prime (369431465761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87603172 + ... + 87607388.

It is an arithmetic number, because the mean of its divisors is an integer number (3850485660).

Almost surely, 2^369431465760 is an apocalyptic number.

369431465760 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 369431465760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739293246720).

369431465760 is an abundant number, since it is smaller than the sum of its proper divisors (1109155027680).

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

369431465760 is a wasteful number, since it uses less digits than its factorization.

369431465760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7145 (or 7131 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 369431465760 in words is "three hundred sixty-nine billion, four hundred thirty-one million, four hundred sixty-five thousand, seven hundred sixty".