736482241869696 has 1280 divisors, whose sum is σ = 2637607785246720. Its totient is φ = 199762374389760.

The previous prime is 736482241869679. The next prime is 736482241869701. The reversal of 736482241869696 is 696968142284637.

736482241869696 is a `hidden beast` number, since 7 + 3 + 6 + 4 + 8 + 22 + 418 + 6 + 96 + 96 = 666.

736482241869696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 114591912435 + ... + 114591918861.

It is an arithmetic number, because the mean of its divisors is an integer number (2060631082224).

Almost surely, 2^{736482241869696} 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 736482241869696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318803892623360).

736482241869696 is an abundant number, since it is smaller than the sum of its proper divisors (1901125543377024).

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

736482241869696 is an frugal number, since it uses more digits than its factorization.

736482241869696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6606 (or 6523 counting only the distinct ones).

The product of its digits is 9029615616, while the sum is 81.

The spelling of 736482241869696 in words is "seven hundred thirty-six trillion, four hundred eighty-two billion, two hundred forty-one million, eight hundred sixty-nine thousand, six hundred ninety-six".