7641338006736 has 800 divisors, whose sum is σ = 26266036008960. Its totient is φ = 2099712844800.

The previous prime is 7641338006717. The next prime is 7641338006777. The reversal of 7641338006736 is 6376008331467.

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

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, 7411578541 + ... + 7411579571.

Almost surely, 2^{7641338006736} 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 7641338006736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13133018004480).

7641338006736 is an abundant number, since it is smaller than the sum of its proper divisors (18624698002224).

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

7641338006736 is a wasteful number, since it uses less digits than its factorization.

7641338006736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 7641338006736 in words is "seven trillion, six hundred forty-one billion, three hundred thirty-eight million, six thousand, seven hundred thirty-six".