641829855744 has 480 divisors, whose sum is σ = 2315961483264. Its totient is φ = 166238576640.

The previous prime is 641829855727. The next prime is 641829855763. The reversal of 641829855744 is 447558928146.

It is a happy number.

641829855744 is a `hidden beast` number, since 6 + 4 + 18 + 29 + 8 + 557 + 44 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135892167 + ... + 135896889.

Almost surely, 2^641829855744 is an apocalyptic number.

641829855744 is a gapful number since it is divisible by the number (64) 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 641829855744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157980741632).

641829855744 is an abundant number, since it is smaller than the sum of its proper divisors (1674131627520).

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

641829855744 is a wasteful number, since it uses less digits than its factorization.

641829855744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5148 (or 5129 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 641829855744 in words is "six hundred forty-one billion, eight hundred twenty-nine million, eight hundred fifty-five thousand, seven hundred forty-four".