7838656057600 has 243 divisors, whose sum is σ = 19695059111973. Its totient is φ = 3088784824320.

The previous prime is 7838656057571. The next prime is 7838656057613. The reversal of 7838656057600 is 67506568387.

The square root of 7838656057600 is 2799760.

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

It can be written as a sum of positive squares in only one way, i.e., 2821916180736 + 5016739876864 = 1679856^2 + 2239808^2 .

It is a super-2 number, since 2×7838656057600² (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 26 ways as a sum of consecutive naturals, for example, 17694482979 + ... + 17694483421.

Almost surely, 2^{7838656057600} is an apocalyptic number.

7838656057600 is the 2799760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7838656057600

7838656057600 is an abundant number, since it is smaller than the sum of its proper divisors (11856403054373).

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

7838656057600 is an frugal number, since it uses more digits than its factorization.

7838656057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 61.

The spelling of 7838656057600 in words is "seven trillion, eight hundred thirty-eight billion, six hundred fifty-six million, fifty-seven thousand, six hundred".