7528049661440 has 960 divisors, whose sum is σ = 23850225273600. Its totient is φ = 2250694656000.

The previous prime is 7528049661439. The next prime is 7528049661479. The reversal of 7528049661440 is 441669408257.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7162748915 + ... + 7162749965.

It is an arithmetic number, because the mean of its divisors is an integer number (24843984660).

Almost surely, 2^{7528049661440} is an apocalyptic number.

7528049661440 is a gapful number since it is divisible by the number (70) 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 7528049661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11925112636800).

7528049661440 is an abundant number, since it is smaller than the sum of its proper divisors (16322175612160).

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

7528049661440 is a wasteful number, since it uses less digits than its factorization.

7528049661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 7528049661440 in words is "seven trillion, five hundred twenty-eight billion, forty-nine million, six hundred sixty-one thousand, four hundred forty".