7843220330625 has 165 divisors, whose sum is σ = 14733208285279. Its totient is φ = 4173976980000.

The previous prime is 7843220330611. The next prime is 7843220330653. The reversal of 7843220330625 is 5260330223487.

The square root of 7843220330625 is 2800575.

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

7843220330625 is a `hidden beast` number, since 7 + 8 + 432 + 203 + 3 + 0 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 7076243734641 + 766976595984 = 2660121^2 + 875772^2 .

It is not a de Polignac number, because 7843220330625 - 2⁴¹ = 5644197075073 is a prime.

It is a super-2 number, since 2×7843220330625² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 164 ways as a sum of consecutive naturals, for example, 17013492895 + ... + 17013493355.

Almost surely, 2^{7843220330625} is an apocalyptic number.

7843220330625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7843220330625 is the 2800575-th square number.

7843220330625 is the 1400288-th centered octagonal number.

It is an amenable number.

7843220330625 is a deficient number, since it is larger than the sum of its proper divisors (6889987954654).

7843220330625 is an frugal number, since it uses more digits than its factorization.

7843220330625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 7843220330625 in words is "seven trillion, eight hundred forty-three billion, two hundred twenty million, three hundred thirty thousand, six hundred twenty-five".