7436140609536 has 170 divisors, whose sum is σ = 22216463983802. Its totient is φ = 2478711767040.

The previous prime is 7436140609517. The next prime is 7436140609537. The reversal of 7436140609536 is 6359060416347.

7436140609536 is a `hidden beast` number, since 7 + 4 + 3 + 6 + 1 + 40 + 60 + 9 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7155325403136 + 280815206400 = 2674944^2 + 529920^2 .

It is a super-2 number, since 2×7436140609536² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7436140609537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4608006 + ... + 6008826.

Almost surely, 2^{7436140609536} 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 7436140609536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11108231991901).

7436140609536 is an abundant number, since it is smaller than the sum of its proper divisors (14780323374266).

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

7436140609536 is an frugal number, since it uses more digits than its factorization.

7436140609536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400865 (or 1400826 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 7436140609536 in words is "seven trillion, four hundred thirty-six billion, one hundred forty million, six hundred nine thousand, five hundred thirty-six".