736573485312 has 576 divisors, whose sum is σ = 2633451663360. Its totient is φ = 198520160256.

The previous prime is 736573485287. The next prime is 736573485413. The reversal of 736573485312 is 213584375637.

736573485312 is a `hidden beast` number, since 7 + 3 + 6 + 573 + 4 + 8 + 53 + 12 = 666.

736573485312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81232203 + ... + 81241269.

Almost surely, 2^736573485312 is an apocalyptic number.

736573485312 is a gapful number since it is divisible by the number (72) 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 736573485312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316725831680).

736573485312 is an abundant number, since it is smaller than the sum of its proper divisors (1896878178048).

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

736573485312 is a wasteful number, since it uses less digits than its factorization.

736573485312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9195 (or 9175 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 736573485312 in words is "seven hundred thirty-six billion, five hundred seventy-three million, four hundred eighty-five thousand, three hundred twelve".