641204419680 has 1152 divisors, whose sum is σ = 2658328243200. Its totient is φ = 143702507520.

The previous prime is 641204419633. The next prime is 641204419769. The reversal of 641204419680 is 86914402146.

641204419680 is a `hidden beast` number, since 6 + 4 + 120 + 441 + 9 + 6 + 80 = 666.

It is a super-3 number, since 3×641204419680³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 524287549 + ... + 524288771.

It is an arithmetic number, because the mean of its divisors is an integer number (2307576600).

Almost surely, 2^641204419680 is an apocalyptic number.

641204419680 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 641204419680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329164121600).

641204419680 is an abundant number, since it is smaller than the sum of its proper divisors (2017123823520).

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

641204419680 is a wasteful number, since it uses less digits than its factorization.

641204419680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 641204419680 in words is "six hundred forty-one billion, two hundred four million, four hundred nineteen thousand, six hundred eighty".