648682753000464 has 480 divisors, whose sum is σ = 2251528692940800. Its totient is φ = 169769943014400.

The previous prime is 648682753000379. The next prime is 648682753000523. The reversal of 648682753000464 is 464000357286846.

648682753000464 is a `hidden beast` number, since 6 + 48 + 6 + 82 + 7 + 53 + 0 + 0 + 0 + 464 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1123261389 + ... + 1123838739.

It is an arithmetic number, because the mean of its divisors is an integer number (4690684776960).

Almost surely, 2^{648682753000464} 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 648682753000464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125764346470400).

648682753000464 is an abundant number, since it is smaller than the sum of its proper divisors (1602845939940336).

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

648682753000464 is a wasteful number, since it uses less digits than its factorization.

648682753000464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578043 (or 578034 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 648682753000464 in words is "six hundred forty-eight trillion, six hundred eighty-two billion, seven hundred fifty-three million, four hundred sixty-four", and thus it is an aban number.