648763637760 has 1536 divisors, whose sum is σ = 2786380430400. Its totient is φ = 142690222080.

The previous prime is 648763637749. The next prime is 648763637777. The reversal of 648763637760 is 67736367846.

648763637760 is a `hidden beast` number, since 6 + 487 + 63 + 6 + 37 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8887173084 + ... + 8887173156.

Almost surely, 2^648763637760 is an apocalyptic number.

648763637760 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 648763637760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393190215200).

648763637760 is an abundant number, since it is smaller than the sum of its proper divisors (2137616792640).

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

648763637760 is an equidigital number, since it uses as much as digits as its factorization.

648763637760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 63.

The spelling of 648763637760 in words is "six hundred forty-eight billion, seven hundred sixty-three million, six hundred thirty-seven thousand, seven hundred sixty".