7436413551072 has 144 divisors (see below), whose sum is σ = 21484439056080. Its totient is φ = 2250525573120.

The previous prime is 7436413551037. The next prime is 7436413551103. The reversal of 7436413551072 is 2701553146347.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8516458 + ... + 9348950.

It is an arithmetic number, because the mean of its divisors is an integer number (149197493445).

Almost surely, 2^{7436413551072} 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 7436413551072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10742219528040).

7436413551072 is an abundant number, since it is smaller than the sum of its proper divisors (14048025505008).

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

7436413551072 is a wasteful number, since it uses less digits than its factorization.

7436413551072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833297 (or 833278 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 7436413551072 in words is "seven trillion, four hundred thirty-six billion, four hundred thirteen million, five hundred fifty-one thousand, seventy-two".