648754981920 has 288 divisors, whose sum is σ = 2345789496960. Its totient is φ = 162707742720.

The previous prime is 648754981913. The next prime is 648754981939. The reversal of 648754981920 is 29189457846.

648754981920 is a `hidden beast` number, since 6 + 4 + 8 + 7 + 549 + 81 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36980511 + ... + 36998049.

It is an arithmetic number, because the mean of its divisors is an integer number (8145102420).

Almost surely, 2^648754981920 is an apocalyptic number.

648754981920 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 648754981920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172894748480).

648754981920 is an abundant number, since it is smaller than the sum of its proper divisors (1697034515040).

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

648754981920 is a wasteful number, since it uses less digits than its factorization.

648754981920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19088 (or 19077 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 648754981920 in words is "six hundred forty-eight billion, seven hundred fifty-four million, nine hundred eighty-one thousand, nine hundred twenty".