6401616300 has 216 divisors, whose sum is σ = 20977948992. Its totient is φ = 1693224000.

The previous prime is 6401616257. The next prime is 6401616311. The reversal of 6401616300 is 36161046.

6401616300 is a `hidden beast` number, since 6 + 40 + 1 + 616 + 3 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3182295 + ... + 3184305.

Almost surely, 2^6401616300 is an apocalyptic number.

6401616300 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 6401616300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10488974496).

6401616300 is an abundant number, since it is smaller than the sum of its proper divisors (14576332692).

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

6401616300 is a wasteful number, since it uses less digits than its factorization.

6401616300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6401616300 is about 80010.1012372813. The cubic root of 6401616300 is about 1856.7918161236.

Adding to 6401616300 its reverse (36161046), we get a palindrome (6437777346).

The spelling of 6401616300 in words is "six billion, four hundred one million, six hundred sixteen thousand, three hundred".