9780993541764 has 27 divisors (see below), whose sum is σ = 24724225552663. Its totient is φ = 3260324925672.

The previous prime is 9780993541757. The next prime is 9780993541769. The reversal of 9780993541764 is 4671453990879.

The square root of 9780993541764 is 3127458.

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

9780993541764 is a `hidden beast` number, since 9 + 7 + 8 + 0 + 9 + 9 + 3 + 541 + 76 + 4 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9780993541692 and 9780993541701.

It is not an unprimeable number, because it can be changed into a prime (9780993541769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18504127 + ... + 19025369.

Almost surely, 2^{9780993541764} is an apocalyptic number.

9780993541764 is the 3127458-th square number.

It is an amenable number.

9780993541764 is an abundant number, since it is smaller than the sum of its proper divisors (14943232010899).

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

9780993541764 is an frugal number, since it uses more digits than its factorization.

9780993541764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042496 (or 521248 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 9780993541764 in words is "nine trillion, seven hundred eighty billion, nine hundred ninety-three million, five hundred forty-one thousand, seven hundred sixty-four".