648311881976640 has 896 divisors, whose sum is σ = 2673731864494080. Its totient is φ = 144824332713984.

The previous prime is 648311881976587. The next prime is 648311881976659. The reversal of 648311881976640 is 46679188113846.

648311881976640 is a `hidden beast` number, since 6 + 4 + 8 + 311 + 88 + 197 + 6 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 513994432 + ... + 515254208.

Almost surely, 2^{648311881976640} is an apocalyptic number.

648311881976640 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 648311881976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336865932247040).

648311881976640 is an abundant number, since it is smaller than the sum of its proper divisors (2025419982517440).

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

648311881976640 is a wasteful number, since it uses less digits than its factorization.

648311881976640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260004 (or 1259988 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 648311881976640 in words is "six hundred forty-eight trillion, three hundred eleven billion, eight hundred eighty-one million, nine hundred seventy-six thousand, six hundred forty".