6413631400 has 96 divisors (see below), whose sum is σ = 16411896000. Its totient is φ = 2311500800.

The previous prime is 6413631379. The next prime is 6413631407. The reversal of 6413631400 is 41363146.

It is a super-2 number, since 2×6413631400² = 82269335470131920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6413631407) 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, 235701 + ... + 261499.

It is an arithmetic number, because the mean of its divisors is an integer number (170957250).

Almost surely, 2^6413631400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6413631400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8205948000).

6413631400 is an abundant number, since it is smaller than the sum of its proper divisors (9998264600).

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

6413631400 is a wasteful number, since it uses less digits than its factorization.

6413631400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25939 (or 25930 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 6413631400 is about 80085.1509332411. The cubic root of 6413631400 is about 1857.9527519122.

Adding to 6413631400 its reverse (41363146), we get a palindrome (6454994546).

The spelling of 6413631400 in words is "six billion, four hundred thirteen million, six hundred thirty-one thousand, four hundred".