648552378096 has 640 divisors, whose sum is σ = 2332753551360. Its totient is φ = 168305983488.

The previous prime is 648552378077. The next prime is 648552378101. The reversal of 648552378096 is 690873255846.

It is a happy number.

648552378096 is a `hidden beast` number, since 6 + 4 + 8 + 552 + 3 + 78 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176379010 + ... + 176382686.

It is an arithmetic number, because the mean of its divisors is an integer number (3644927424).

Almost surely, 2^648552378096 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 648552378096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166376775680).

648552378096 is an abundant number, since it is smaller than the sum of its proper divisors (1684201173264).

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

648552378096 is a wasteful number, since it uses less digits than its factorization.

648552378096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 648552378096 in words is "six hundred forty-eight billion, five hundred fifty-two million, three hundred seventy-eight thousand, ninety-six".