6411009600 has 168 divisors, whose sum is σ = 23370661920. Its totient is φ = 1709591040.

The previous prime is 6411009571. The next prime is 6411009601. The reversal of 6411009600 is 69001146.

6411009600 is a `hidden beast` number, since 6 + 41 + 10 + 0 + 9 + 600 = 666.

It is a super-2 number, since 2×6411009600² = 82202088182584320000, 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 (6411009601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31002 + ... + 117401.

Almost surely, 2^6411009600 is an apocalyptic number.

6411009600 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 6411009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11685330960).

6411009600 is an abundant number, since it is smaller than the sum of its proper divisors (16959652320).

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

6411009600 is a wasteful number, since it uses less digits than its factorization.

6411009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148434 (or 148413 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 6411009600 is about 80068.7804328254. The cubic root of 6411009600 is about 1857.6995493125.

The spelling of 6411009600 in words is "six billion, four hundred eleven million, nine thousand, six hundred".