641076874704 has 640 divisors, whose sum is σ = 2232542822400. Its totient is φ = 172262039040.

The previous prime is 641076874693. The next prime is 641076874709. The reversal of 641076874704 is 407478670146.

641076874704 is a `hidden beast` number, since 6 + 4 + 107 + 68 + 7 + 470 + 4 = 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 (641076874709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1447125907 + ... + 1447126349.

It is an arithmetic number, because the mean of its divisors is an integer number (3488348160).

Almost surely, 2^641076874704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641076874704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116271411200).

641076874704 is an abundant number, since it is smaller than the sum of its proper divisors (1591465947696).

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

641076874704 is a wasteful number, since it uses less digits than its factorization.

641076874704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 641076874704 in words is "six hundred forty-one billion, seventy-six million, eight hundred seventy-four thousand, seven hundred four".