7493620506528 has 192 divisors, whose sum is σ = 21454302280320. Its totient is φ = 2276336037888.

The previous prime is 7493620506523. The next prime is 7493620506623. The reversal of 7493620506528 is 8256050263947.

It is a super-2 number, since 2×7493620506528² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7493620506523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150482658 + ... + 150532446.

It is an arithmetic number, because the mean of its divisors is an integer number (111741157710).

Almost surely, 2^{7493620506528} is an apocalyptic number.

7493620506528 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7493620506528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10727151140160).

7493620506528 is an abundant number, since it is smaller than the sum of its proper divisors (13960681773792).

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

7493620506528 is a wasteful number, since it uses less digits than its factorization.

7493620506528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51351 (or 51343 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 7493620506528 in words is "seven trillion, four hundred ninety-three billion, six hundred twenty million, five hundred six thousand, five hundred twenty-eight".