648215406058752 has 576 divisors, whose sum is σ = 2394420063436800. Its totient is φ = 168687114485760.

The previous prime is 648215406058733. The next prime is 648215406058793. The reversal of 648215406058752 is 257850604512846.

It is a happy number.

648215406058752 is a `hidden beast` number, since 6 + 4 + 8 + 2 + 1 + 5 + 40 + 6 + 0 + 587 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 648215406058752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12787449 + ... + 38209287.

It is an arithmetic number, because the mean of its divisors is an integer number (4156979276800).

Almost surely, 2^{648215406058752} is an apocalyptic number.

648215406058752 is a gapful number since it is divisible by the number (62) 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 648215406058752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197210031718400).

648215406058752 is an abundant number, since it is smaller than the sum of its proper divisors (1746204657378048).

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

648215406058752 is a wasteful number, since it uses less digits than its factorization.

648215406058752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25421919 (or 25421899 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 648215406058752 in words is "six hundred forty-eight trillion, two hundred fifteen billion, four hundred six million, fifty-eight thousand, seven hundred fifty-two".