7921928126464 has 135 divisors (see below), whose sum is σ = 17423332336011. Its totient is φ = 3599075082240.

The previous prime is 7921928126429. The next prime is 7921928126491. The reversal of 7921928126464 is 4646218291297.

The square root of 7921928126464 is 2814592.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×7921928126464² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3962944537 + ... + 3962946535.

Almost surely, 2^{7921928126464} is an apocalyptic number.

7921928126464 is the 2814592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7921928126464

7921928126464 is an abundant number, since it is smaller than the sum of its proper divisors (9501404209547).

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

7921928126464 is an frugal number, since it uses more digits than its factorization.

7921928126464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 2012 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 61.

The spelling of 7921928126464 in words is "seven trillion, nine hundred twenty-one billion, nine hundred twenty-eight million, one hundred twenty-six thousand, four hundred sixty-four".