648953057376 has 288 divisors, whose sum is σ = 2023692679008. Its totient is φ = 196053073920.

The previous prime is 648953057359. The next prime is 648953057407. The reversal of 648953057376 is 673750359846.

648953057376 is a `hidden beast` number, since 6 + 4 + 8 + 9 + 53 + 0 + 573 + 7 + 6 = 666.

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

It is a super-2 number, since 2×648953057376² (a number of 24 digits) contains 22 as substring.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 79514736 + ... + 79522896.

It is an arithmetic number, because the mean of its divisors is an integer number (7026710691).

Almost surely, 2^648953057376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648953057376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011846339504).

648953057376 is an abundant number, since it is smaller than the sum of its proper divisors (1374739621632).

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

648953057376 is a wasteful number, since it uses less digits than its factorization.

648953057376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8574 (or 8563 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 648953057376 in words is "six hundred forty-eight billion, nine hundred fifty-three million, fifty-seven thousand, three hundred seventy-six".