9755117824 has 27 divisors (see below), whose sum is σ = 19475284633. Its totient is φ = 4876768768.

The previous prime is 9755117819. The next prime is 9755117833. The reversal of 9755117824 is 4287115579.

The square root of 9755117824 is 98768.

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., 78854400 + 9676263424 = 8880^2 + 98368^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1577202 + ... + 1583374.

Almost surely, 2^9755117824 is an apocalyptic number.

9755117824 is the 98768-th square number.

It is an amenable number.

9755117824 is a deficient number, since it is larger than the sum of its proper divisors (9720166809).

9755117824 is an frugal number, since it uses more digits than its factorization.

9755117824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12362 (or 6175 counting only the distinct ones).

The product of its digits is 705600, while the sum is 49.

The cubic root of 9755117824 is about 2136.7030654691.

Multiplying 9755117824 by its sum of digits (49), we get a square (478000773376 = 691376²).

The spelling of 9755117824 in words is "nine billion, seven hundred fifty-five million, one hundred seventeen thousand, eight hundred twenty-four".