53673768976 has 45 divisors (see below), whose sum is σ = 110502429469. Its totient is φ = 25250830592.

The previous prime is 53673768947. The next prime is 53673768983. The reversal of 53673768976 is 67986737635.

The square root of 53673768976 is 231676.

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., 41787536400 + 11886232576 = 204420^2 + 109024^2 .

It is a super-3 number, since 3×53673768976³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

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, 15752265 + ... + 15755671.

Almost surely, 2^53673768976 is an apocalyptic number.

53673768976 is the 231676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53673768976

53673768976 is an abundant number, since it is smaller than the sum of its proper divisors (56828660493).

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

53673768976 is an frugal number, since it uses more digits than its factorization.

53673768976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6856 (or 3426 counting only the distinct ones).

The product of its digits is 240045120, while the sum is 67.

It can be divided in two parts, 53673 and 768976, that added together give a square (822649 = 907²).

The spelling of 53673768976 in words is "fifty-three billion, six hundred seventy-three million, seven hundred sixty-eight thousand, nine hundred seventy-six".