7045137657120 has 384 divisors, whose sum is σ = 23265042393600. Its totient is φ = 1789703258112.

The previous prime is 7045137657083. The next prime is 7045137657127. The reversal of 7045137657120 is 217567315407.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7045137657120.

It is not an unprimeable number, because it can be changed into a prime (7045137657127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 603328722 + ... + 603340398.

It is an arithmetic number, because the mean of its divisors is an integer number (60586047900).

Almost surely, 2^{7045137657120} 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 7045137657120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11632521196800).

7045137657120 is an abundant number, since it is smaller than the sum of its proper divisors (16219904736480).

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

7045137657120 is a wasteful number, since it uses less digits than its factorization.

7045137657120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12300 (or 12292 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The spelling of 7045137657120 in words is "seven trillion, forty-five billion, one hundred thirty-seven million, six hundred fifty-seven thousand, one hundred twenty".