648951594963840 has 2048 divisors, whose sum is σ = 2842154085888000. Its totient is φ = 136608051363840.

The previous prime is 648951594963827. The next prime is 648951594963883. The reversal of 648951594963840 is 48369495159846.

648951594963840 is a `hidden beast` number, since 6 + 4 + 8 + 9 + 5 + 1 + 59 + 496 + 38 + 40 = 666.

It is a super-2 number, since 2×648951594963840² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 648951594963840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 125936654704 + ... + 125936659856.

It is an arithmetic number, because the mean of its divisors is an integer number (1387770549750).

Almost surely, 2^{648951594963840} is an apocalyptic number.

648951594963840 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 648951594963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421077042944000).

648951594963840 is an abundant number, since it is smaller than the sum of its proper divisors (2193202490924160).

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

648951594963840 is a wasteful number, since it uses less digits than its factorization.

648951594963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6725 (or 6707 counting only the distinct ones).

The product of its (nonzero) digits is 8062156800, while the sum is 81.

The spelling of 648951594963840 in words is "six hundred forty-eight trillion, nine hundred fifty-one billion, five hundred ninety-four million, nine hundred sixty-three thousand, eight hundred forty".