641562500 has 48 divisors (see below), whose sum is σ = 1404097968. Its totient is φ = 256500000.

The previous prime is 641562457. The next prime is 641562503. The reversal of 641562500 is 5265146.

It can be written as a sum of positive squares in 8 ways, for example, as 500237956 + 141324544 = 22366^2 + 11888^2 .

It is a sliding number, since 641562500 = 1562500 + 640000000 and 1/1562500 + 1/640000000 = 0.000000641562500.

It is not an unprimeable number, because it can be changed into a prime (641562503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311474 + ... + 313526.

It is an arithmetic number, because the mean of its divisors is an integer number (29252041).

Almost surely, 2^641562500 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 641562500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702048984).

641562500 is an abundant number, since it is smaller than the sum of its proper divisors (762535468).

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

641562500 is an frugal number, since it uses more digits than its factorization.

641562500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 641562500 is about 25329.0840734520. The cubic root of 641562500 is about 862.4746194310.

It can be divided in two parts, 64 and 1562500, that multiplied together give a 8-th power (100000000 = 10⁸).

The spelling of 641562500 in words is "six hundred forty-one million, five hundred sixty-two thousand, five hundred".