7815494959104 has 544 divisors, whose sum is σ = 25064969472000. Its totient is φ = 2118817677312.

The previous prime is 7815494959057. The next prime is 7815494959187. The reversal of 7815494959104 is 4019594945187.

It is a super-2 number, since 2×7815494959104² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2354772357 + ... + 2354775675.

Almost surely, 2^{7815494959104} 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 7815494959104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12532484736000).

7815494959104 is an abundant number, since it is smaller than the sum of its proper divisors (17249474512896).

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

7815494959104 is an equidigital number, since it uses as much as digits as its factorization.

7815494959104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 66.

The spelling of 7815494959104 in words is "seven trillion, eight hundred fifteen billion, four hundred ninety-four million, nine hundred fifty-nine thousand, one hundred four".