641831107680 has 576 divisors, whose sum is σ = 2735903858688. Its totient is φ = 133619466240.

The previous prime is 641831107607. The next prime is 641831107681. The reversal of 641831107680 is 86701138146.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641831107681) 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, 5251749 + ... + 5372571.

It is an arithmetic number, because the mean of its divisors is an integer number (4749833088).

Almost surely, 2^641831107680 is an apocalyptic number.

641831107680 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 641831107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367951929344).

641831107680 is an abundant number, since it is smaller than the sum of its proper divisors (2094072751008).

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

641831107680 is a wasteful number, since it uses less digits than its factorization.

641831107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120899 (or 120888 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 641831107680 in words is "six hundred forty-one billion, eight hundred thirty-one million, one hundred seven thousand, six hundred eighty".