648747434880 has 192 divisors, whose sum is σ = 2240897302800. Its totient is φ = 172945932288.

The previous prime is 648747434849. The next prime is 648747434891. The reversal of 648747434880 is 88434747846.

648747434880 is a `hidden beast` number, since 6 + 4 + 87 + 4 + 74 + 3 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×648747434880² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20818351 + ... + 20849489.

Almost surely, 2^648747434880 is an apocalyptic number.

648747434880 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 648747434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120448651400).

648747434880 is an abundant number, since it is smaller than the sum of its proper divisors (1592149867920).

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

648747434880 is a wasteful number, since it uses less digits than its factorization.

648747434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34781 (or 34766 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 63.

The spelling of 648747434880 in words is "six hundred forty-eight billion, seven hundred forty-seven million, four hundred thirty-four thousand, eight hundred eighty".