648088166880 has 2160 divisors, whose sum is σ = 3075232484016. Its totient is φ = 127083479040.

The previous prime is 648088166863. The next prime is 648088166893. The reversal of 648088166880 is 88661880846.

648088166880 is a `hidden beast` number, since 6 + 480 + 8 + 8 + 16 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 359 ways as a sum of consecutive naturals, for example, 2521743712 + ... + 2521743968.

Almost surely, 2^648088166880 is an apocalyptic number.

648088166880 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 648088166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537616242008).

648088166880 is an abundant number, since it is smaller than the sum of its proper divisors (2427144317136).

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

648088166880 is a wasteful number, since it uses less digits than its factorization.

648088166880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 648088166880 in words is "six hundred forty-eight billion, eighty-eight million, one hundred sixty-six thousand, eight hundred eighty".