6465768100 has 243 divisors, whose sum is σ = 16772599011. Its totient is φ = 2161420800.

The previous prime is 6465768079. The next prime is 6465768121. The reversal of 6465768100 is 18675646.

It is a happy number.

The square root of 6465768100 is 80410.

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

It is an interprime number because it is at equal distance from previous prime (6465768079) and next prime (6465768121).

It can be written as a sum of positive squares in 4 ways, for example, as 151240804 + 6314527296 = 12298^2 + 79464^2 .

It is a super-2 number, since 2×6465768100² = 83612314245955220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 150366679 + ... + 150366721.

Almost surely, 2^6465768100 is an apocalyptic number.

6465768100 is the 80410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6465768100

6465768100 is an abundant number, since it is smaller than the sum of its proper divisors (10306830911).

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

6465768100 is a wasteful number, since it uses less digits than its factorization.

6465768100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The cubic root of 6465768100 is about 1862.9736320792.

The spelling of 6465768100 in words is "six billion, four hundred sixty-five million, seven hundred sixty-eight thousand, one hundred".