367825747968 has 768 divisors, whose sum is σ = 1319071703040. Its totient is φ = 96372523008.

The previous prime is 367825747909. The next prime is 367825748011. The reversal of 367825747968 is 869747528763.

367825747968 is a `hidden beast` number, since 3 + 6 + 78 + 25 + 7 + 479 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×367825747968² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 367825747896 and 367825747905.

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 47 ways as a sum of consecutive naturals, for example, 1649442705 + ... + 1649442927.

It is an arithmetic number, because the mean of its divisors is an integer number (1717541280).

Almost surely, 2^367825747968 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 367825747968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659535851520).

367825747968 is an abundant number, since it is smaller than the sum of its proper divisors (951245955072).

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

367825747968 is a wasteful number, since it uses less digits than its factorization.

367825747968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 299 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 72.

The spelling of 367825747968 in words is "three hundred sixty-seven billion, eight hundred twenty-five million, seven hundred forty-seven thousand, nine hundred sixty-eight".