7513267625040 has 320 divisors, whose sum is σ = 26250853766400. Its totient is φ = 1766362447872.

The previous prime is 7513267625011. The next prime is 7513267625041. The reversal of 7513267625040 is 405267623157.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7513267625041) 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, 6354784 + ... + 7443776.

It is an arithmetic number, because the mean of its divisors is an integer number (82033918020).

Almost surely, 2^{7513267625040} 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 7513267625040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13125426883200).

7513267625040 is an abundant number, since it is smaller than the sum of its proper divisors (18737586141360).

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

7513267625040 is a wasteful number, since it uses less digits than its factorization.

7513267625040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089134 (or 1089128 counting only the distinct ones).

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

The spelling of 7513267625040 in words is "seven trillion, five hundred thirteen billion, two hundred sixty-seven million, six hundred twenty-five thousand, forty".