648331934976 has 576 divisors, whose sum is σ = 2147475456000. Its totient is φ = 191275499520.

The previous prime is 648331934963. The next prime is 648331934981. The reversal of 648331934976 is 679439133846.

648331934976 is a `hidden beast` number, since 6 + 483 + 31 + 9 + 34 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 506904705 + ... + 506905983.

It is an arithmetic number, because the mean of its divisors is an integer number (3728256000).

Almost surely, 2^648331934976 is an apocalyptic number.

648331934976 is a gapful number since it is divisible by the number (66) 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 648331934976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073737728000).

648331934976 is an abundant number, since it is smaller than the sum of its proper divisors (1499143521024).

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

648331934976 is a wasteful number, since it uses less digits than its factorization.

648331934976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1467 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 648331934976 in words is "six hundred forty-eight billion, three hundred thirty-one million, nine hundred thirty-four thousand, nine hundred seventy-six".