641352771000 has 384 divisors, whose sum is σ = 2291801428800. Its totient is φ = 161320550400.

The previous prime is 641352770999. The next prime is 641352771011. The reversal of 641352771000 is 177253146.

It is a happy number.

641352771000 is a `hidden beast` number, since 64 + 1 + 3 + 527 + 71 + 0 + 0 + 0 = 666.

641352771000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641352771000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39834952 + ... + 39851048.

Almost surely, 2^641352771000 is an apocalyptic number.

641352771000 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 641352771000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145900714400).

641352771000 is an abundant number, since it is smaller than the sum of its proper divisors (1650448657800).

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

641352771000 is a wasteful number, since it uses less digits than its factorization.

641352771000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16376 (or 16359 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 641352771000 in words is "six hundred forty-one billion, three hundred fifty-two million, seven hundred seventy-one thousand".