7515604073040 has 960 divisors, whose sum is σ = 28843899586560. Its totient is φ = 1610680135680.

The previous prime is 7515604073039. The next prime is 7515604073057. The reversal of 7515604073040 is 403704065157.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7515604072983 and 7515604073001.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 4149973735 + ... + 4149975545.

It is an arithmetic number, because the mean of its divisors is an integer number (30045728736).

Almost surely, 2^{7515604073040} is an apocalyptic number.

7515604073040 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 7515604073040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14421949793280).

7515604073040 is an abundant number, since it is smaller than the sum of its proper divisors (21328295513520).

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

7515604073040 is a wasteful number, since it uses less digits than its factorization.

7515604073040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 7515604073040 in words is "seven trillion, five hundred fifteen billion, six hundred four million, seventy-three thousand, forty".