7904261189760 has 512 divisors, whose sum is σ = 27671486976000. Its totient is φ = 1907231539200.

The previous prime is 7904261189743. The next prime is 7904261189813. The reversal of 7904261189760 is 679811624097.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 7904261189694 and 7904261189703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 528670285 + ... + 528685235.

It is an arithmetic number, because the mean of its divisors is an integer number (54045873000).

Almost surely, 2^{7904261189760} 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 7904261189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13835743488000).

7904261189760 is an abundant number, since it is smaller than the sum of its proper divisors (19767225786240).

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

7904261189760 is a wasteful number, since it uses less digits than its factorization.

7904261189760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15404 (or 15392 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 60.

The spelling of 7904261189760 in words is "seven trillion, nine hundred four billion, two hundred sixty-one million, one hundred eighty-nine thousand, seven hundred sixty".