641764304064 has 336 divisors, whose sum is σ = 2040021669504. Its totient is φ = 191633817600.

The previous prime is 641764304011. The next prime is 641764304107. The reversal of 641764304064 is 460403467146.

641764304064 is a `hidden beast` number, since 6 + 4 + 176 + 430 + 40 + 6 + 4 = 666.

It is a super-2 number, since 2×641764304064² (a number of 24 digits) contains 22 as substring.

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, 59247129 + ... + 59257959.

It is an arithmetic number, because the mean of its divisors is an integer number (6071493064).

Almost surely, 2^641764304064 is an apocalyptic number.

641764304064 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 641764304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020010834752).

641764304064 is an abundant number, since it is smaller than the sum of its proper divisors (1398257365440).

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

641764304064 is a wasteful number, since it uses less digits than its factorization.

641764304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11096 (or 11083 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 641764304064 in words is "six hundred forty-one billion, seven hundred sixty-four million, three hundred four thousand, sixty-four".