641554652880 has 480 divisors, whose sum is σ = 2328770949120. Its totient is φ = 162317675520.

The previous prime is 641554652861. The next prime is 641554652887. The reversal of 641554652880 is 88256455146.

641554652880 is a `hidden beast` number, since 6 + 4 + 1 + 554 + 6 + 5 + 2 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641554652887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145113070 + ... + 145117490.

It is an arithmetic number, because the mean of its divisors is an integer number (4851606144).

Almost surely, 2^641554652880 is an apocalyptic number.

641554652880 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 641554652880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164385474560).

641554652880 is an abundant number, since it is smaller than the sum of its proper divisors (1687216296240).

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

641554652880 is a wasteful number, since it uses less digits than its factorization.

641554652880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 641554652880 in words is "six hundred forty-one billion, five hundred fifty-four million, six hundred fifty-two thousand, eight hundred eighty".