7925997906288 has 720 divisors, whose sum is σ = 28835404416000. Its totient is φ = 2029596307200.

The previous prime is 7925997906287. The next prime is 7925997906313. The reversal of 7925997906288 is 8826097995297.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7925997906287) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 424317333 + ... + 424336011.

It is an arithmetic number, because the mean of its divisors is an integer number (40049172800).

Almost surely, 2^{7925997906288} 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 7925997906288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14417702208000).

7925997906288 is an abundant number, since it is smaller than the sum of its proper divisors (20909406509712).

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

7925997906288 is a wasteful number, since it uses less digits than its factorization.

7925997906288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18807 (or 18773 counting only the distinct ones).

The product of its (nonzero) digits is 2469035520, while the sum is 81.

The spelling of 7925997906288 in words is "seven trillion, nine hundred twenty-five billion, nine hundred ninety-seven million, nine hundred six thousand, two hundred eighty-eight".