6410949120 has 400 divisors, whose sum is σ = 23528672640. Its totient is φ = 1667506176.

The previous prime is 6410949109. The next prime is 6410949143. The reversal of 6410949120 is 219490146.

It is a happy number.

6410949120 is a `hidden beast` number, since 64 + 109 + 491 + 2 + 0 = 666.

It is a super-2 number, since 2×6410949120² = 82200537238457548800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8916121 + ... + 8916839.

Almost surely, 2^6410949120 is an apocalyptic number.

6410949120 is a gapful number since it is divisible by the number (60) 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 6410949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11764336320).

6410949120 is an abundant number, since it is smaller than the sum of its proper divisors (17117723520).

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

6410949120 is an equidigital number, since it uses as much as digits as its factorization.

6410949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6410949120 is about 80068.4027566430. The cubic root of 6410949120 is about 1857.6937075898.

The spelling of 6410949120 in words is "six billion, four hundred ten million, nine hundred forty-nine thousand, one hundred twenty".