641280640000 has 1485 divisors, whose sum is σ = 2217922991361. Its totient is φ = 184504320000.

The previous prime is 641280639983. The next prime is 641280640009. The reversal of 641280640000 is 46082146.

The square root of 641280640000 is 800800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 633412240384 + 7868399616 = 795872^2 + 88704^2 .

It is a super-2 number, since 2×641280640000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (641280640009) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 49329279994 + ... + 49329280006.

Almost surely, 2^641280640000 is an apocalyptic number.

641280640000 is the 800800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641280640000

641280640000 is an abundant number, since it is smaller than the sum of its proper divisors (1576642351361).

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

641280640000 is a wasteful number, since it uses less digits than its factorization.

641280640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 641280640000 in words is "six hundred forty-one billion, two hundred eighty million, six hundred forty thousand".