654040977984 has 189 divisors, whose sum is σ = 1938898740051. Its totient is φ = 210786865920.

The previous prime is 654040977979. The next prime is 654040978001. The reversal of 654040977984 is 489779040456.

The square root of 654040977984 is 808728.

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

654040977984 is a `hidden beast` number, since 6 + 540 + 4 + 0 + 9 + 7 + 7 + 9 + 84 = 666.

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, 601693089 + ... + 601694175.

Almost surely, 2^654040977984 is an apocalyptic number.

654040977984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

654040977984 is the 808728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 654040977984

654040977984 is an abundant number, since it is smaller than the sum of its proper divisors (1284857762067).

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

654040977984 is an equidigital number, since it uses as much as digits as its factorization.

654040977984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 654040977984 in words is "six hundred fifty-four billion, forty million, nine hundred seventy-seven thousand, nine hundred eighty-four".