367464480768 has 1360 divisors, whose sum is σ = 1461619906560. Its totient is φ = 89181388800.

The previous prime is 367464480749. The next prime is 367464480809. The reversal of 367464480768 is 867084464763.

It is a happy number.

367464480768 is a `hidden beast` number, since 3 + 67 + 464 + 48 + 0 + 76 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11853692913 + ... + 11853692943.

Almost surely, 2^367464480768 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 367464480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730809953280).

367464480768 is an abundant number, since it is smaller than the sum of its proper divisors (1094155425792).

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

367464480768 is an equidigital number, since it uses as much as digits as its factorization.

367464480768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 367464480768 in words is "three hundred sixty-seven billion, four hundred sixty-four million, four hundred eighty thousand, seven hundred sixty-eight".