648953326080 has 120 divisors (see below), whose sum is σ = 2247507966132. Its totient is φ = 173054214144.

The previous prime is 648953326079. The next prime is 648953326081. The reversal of 648953326080 is 80623359846.

648953326080 is a `hidden beast` number, since 6 + 4 + 8 + 9 + 533 + 26 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (648953326079) and next prime (648953326081).

It can be written as a sum of positive squares in 2 ways, for example, as 638490491136 + 10462834944 = 799056^2 + 102288^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×648953326080² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (648953326081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14060149 + ... + 14106228.

Almost surely, 2^648953326080 is an apocalyptic number.

648953326080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

648953326080 is an abundant number, since it is smaller than the sum of its proper divisors (1598554640052).

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

648953326080 is a wasteful number, since it uses less digits than its factorization.

648953326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28166406 (or 28166387 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 648953326080 in words is "six hundred forty-eight billion, nine hundred fifty-three million, three hundred twenty-six thousand, eighty".