648684080640 has 400 divisors, whose sum is σ = 2424415818528. Its totient is φ = 165460230144.

The previous prime is 648684080609. The next prime is 648684080669. The reversal of 648684080640 is 46080486846.

648684080640 is a `hidden beast` number, since 6 + 486 + 8 + 40 + 80 + 6 + 40 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4701274 + ... + 4837286.

Almost surely, 2^648684080640 is an apocalyptic number.

648684080640 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 648684080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212207909264).

648684080640 is an abundant number, since it is smaller than the sum of its proper divisors (1775731737888).

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

648684080640 is a wasteful number, since it uses less digits than its factorization.

648684080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136071 (or 136046 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 648684080640 in words is "six hundred forty-eight billion, six hundred eighty-four million, eighty thousand, six hundred forty".