6461122410 has 128 divisors (see below), whose sum is σ = 18030677760. Its totient is φ = 1644634368.

The previous prime is 6461122403. The next prime is 6461122417. The reversal of 6461122410 is 142211646.

6461122410 is a `hidden beast` number, since 6 + 4 + 611 + 2 + 2 + 41 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6461122403) and next prime (6461122417).

It is a super-2 number, since 2×6461122410² = 83492205594008416200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6461122417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 523369 + ... + 535571.

It is an arithmetic number, because the mean of its divisors is an integer number (140864670).

Almost surely, 2^6461122410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6461122410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9015338880).

6461122410 is an abundant number, since it is smaller than the sum of its proper divisors (11569555350).

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

6461122410 is a wasteful number, since it uses less digits than its factorization.

6461122410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12309 (or 12303 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6461122410 is about 80381.1072951847. The cubic root of 6461122410 is about 1862.5273395684.

The spelling of 6461122410 in words is "six billion, four hundred sixty-one million, one hundred twenty-two thousand, four hundred ten".