648791248670640 has 160 divisors (see below), whose sum is σ = 2295123396480960. Its totient is φ = 168335026661376.

The previous prime is 648791248670599. The next prime is 648791248670659. The reversal of 648791248670640 is 46076842197846.

648791248670640 is a `hidden beast` number, since 6 + 4 + 8 + 7 + 9 + 12 + 486 + 70 + 64 + 0 = 666.

648791248670640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 4058924389 + ... + 4059084228.

It is an arithmetic number, because the mean of its divisors is an integer number (14344521228006).

Almost surely, 2^{648791248670640} is an apocalyptic number.

648791248670640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

648791248670640 is an abundant number, since it is smaller than the sum of its proper divisors (1646332147810320).

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

648791248670640 is a wasteful number, since it uses less digits than its factorization.

648791248670640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8118008676 (or 8118008664 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 648791248670640 in words is "six hundred forty-eight trillion, seven hundred ninety-one billion, two hundred forty-eight million, six hundred seventy thousand, six hundred forty".