7928083870720 has 528 divisors, whose sum is σ = 20994599952432. Its totient is φ = 2870791372800.

The previous prime is 7928083870711. The next prime is 7928083870741. The reversal of 7928083870720 is 270783808297.

It can be written as a sum of positive squares in 24 ways, for example, as 7007159586816 + 920924283904 = 2647104^2 + 959648^2 .

It is a super-2 number, since 2×7928083870720² (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 47 ways as a sum of consecutive naturals, for example, 19770782520 + ... + 19770782920.

Almost surely, 2^{7928083870720} 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 7928083870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10497299976216).

7928083870720 is an abundant number, since it is smaller than the sum of its proper divisors (13066516081712).

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

7928083870720 is a wasteful number, since it uses less digits than its factorization.

7928083870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 61.

The spelling of 7928083870720 in words is "seven trillion, nine hundred twenty-eight billion, eighty-three million, eight hundred seventy thousand, seven hundred twenty".