648879028035840 has 2304 divisors, whose sum is σ = 2834908721971200. Its totient is φ = 137232743104512.

The previous prime is 648879028035829. The next prime is 648879028035857. The reversal of 648879028035840 is 48530820978846.

648879028035840 is a `hidden beast` number, since 6 + 488 + 7 + 90 + 2 + 8 + 0 + 3 + 58 + 4 + 0 = 666.

648879028035840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 112986072009 + ... + 112986077751.

It is an arithmetic number, because the mean of its divisors is an integer number (1230429132800).

Almost surely, 2^{648879028035840} is an apocalyptic number.

648879028035840 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 648879028035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417454360985600).

648879028035840 is an abundant number, since it is smaller than the sum of its proper divisors (2186029693935360).

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

648879028035840 is a wasteful number, since it uses less digits than its factorization.

648879028035840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6349 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 648879028035840 in words is "six hundred forty-eight trillion, eight hundred seventy-nine billion, twenty-eight million, thirty-five thousand, eight hundred forty".