1973688768 has 224 divisors, whose sum is σ = 5998464000. Its totient is φ = 644039424.

The previous prime is 1973688721. The next prime is 1973688799. The reversal of 1973688768 is 8678863791.

1973688768 is a `hidden beast` number, since 197 + 368 + 87 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8257993 + ... + 8258231.

Almost surely, 2^1973688768 is an apocalyptic number.

1973688768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1973688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999232000).

1973688768 is an abundant number, since it is smaller than the sum of its proper divisors (4024775232).

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

1973688768 is an frugal number, since it uses more digits than its factorization.

1973688768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 303 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The square root of 1973688768 is about 44426.2171245763. The cubic root of 1973688768 is about 1254.3716304279.

The spelling of 1973688768 in words is "one billion, nine hundred seventy-three million, six hundred eighty-eight thousand, seven hundred sixty-eight".