735978609063936 has 480 divisors, whose sum is σ = 2512950666145920. Its totient is φ = 210229959278592.

The previous prime is 735978609063857. The next prime is 735978609064003. The reversal of 735978609063936 is 639360906879537.

It is a happy number.

735978609063936 is a `hidden beast` number, since 73 + 5 + 9 + 78 + 6 + 0 + 90 + 6 + 393 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5066312775 + ... + 5066458041.

It is an arithmetic number, because the mean of its divisors is an integer number (5235313887804).

Almost surely, 2^{735978609063936} 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 735978609063936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256475333072960).

735978609063936 is an abundant number, since it is smaller than the sum of its proper divisors (1776972057081984).

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

735978609063936 is a wasteful number, since it uses less digits than its factorization.

735978609063936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149671 (or 149642 counting only the distinct ones).

The product of its (nonzero) digits is 8332994880, while the sum is 81.

The spelling of 735978609063936 in words is "seven hundred thirty-five trillion, nine hundred seventy-eight billion, six hundred nine million, sixty-three thousand, nine hundred thirty-six".