736145232768 has 384 divisors, whose sum is σ = 2380785264000. Its totient is φ = 216400343040.

The previous prime is 736145232743. The next prime is 736145232793. The reversal of 736145232768 is 867232541637.

It is a happy number.

736145232768 is a `hidden beast` number, since 7 + 36 + 1 + 4 + 523 + 27 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (736145232743) and next prime (736145232793).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81184971 + ... + 81194037.

It is an arithmetic number, because the mean of its divisors is an integer number (6199961625).

Almost surely, 2^736145232768 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 736145232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190392632000).

736145232768 is an abundant number, since it is smaller than the sum of its proper divisors (1644640031232).

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

736145232768 is a wasteful number, since it uses less digits than its factorization.

736145232768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9290 (or 9275 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 736145232768 in words is "seven hundred thirty-six billion, one hundred forty-five million, two hundred thirty-two thousand, seven hundred sixty-eight".