648452977920 has 1440 divisors, whose sum is σ = 2641752723456. Its totient is φ = 151747706880.

The previous prime is 648452977871. The next prime is 648452977943. The reversal of 648452977920 is 29779254846.

648452977920 is a `hidden beast` number, since 6 + 4 + 8 + 452 + 97 + 7 + 92 + 0 = 666.

648452977920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5105928897 + ... + 5105929023.

Almost surely, 2^648452977920 is an apocalyptic number.

648452977920 is a gapful number since it is divisible by the number (60) 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 648452977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320876361728).

648452977920 is an abundant number, since it is smaller than the sum of its proper divisors (1993299745536).

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

648452977920 is a wasteful number, since it uses less digits than its factorization.

648452977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 185 counting only the distinct ones).

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

The spelling of 648452977920 in words is "six hundred forty-eight billion, four hundred fifty-two million, nine hundred seventy-seven thousand, nine hundred twenty".