7956641845504 has 405 divisors, whose sum is σ = 18444311015655. Its totient is φ = 3425521228800.

The previous prime is 7956641845499. The next prime is 7956641845517. The reversal of 7956641845504 is 4055481466597.

The square root of 7956641845504 is 2820752.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 169290252009 + ... + 169290252055.

Almost surely, 2^{7956641845504} is an apocalyptic number.

7956641845504 is the 2820752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7956641845504

7956641845504 is an abundant number, since it is smaller than the sum of its proper divisors (10487669170151).

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

7956641845504 is an frugal number, since it uses more digits than its factorization.

7956641845504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 64.

Multiplying 7956641845504 by its sum of digits (64), we get a square (509225078112256 = 22566016²).

7956641845504 divided by its sum of digits (64) gives a square (124322528836 = 352594²).

The spelling of 7956641845504 in words is "seven trillion, nine hundred fifty-six billion, six hundred forty-one million, eight hundred forty-five thousand, five hundred four".