6340118400 has 768 divisors, whose sum is σ = 28958860800. Its totient is φ = 1316044800.

The previous prime is 6340118381. The next prime is 6340118413. The reversal of 6340118400 is 48110436.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6652324 + ... + 6653276.

It is an arithmetic number, because the mean of its divisors is an integer number (37706850).

Almost surely, 2^6340118400 is an apocalyptic number.

6340118400 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 6340118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14479430400).

6340118400 is an abundant number, since it is smaller than the sum of its proper divisors (22618742400).

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

6340118400 is a wasteful number, since it uses less digits than its factorization.

6340118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 981 counting only the distinct ones).

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

The square root of 6340118400 is about 79624.8604394381. The cubic root of 6340118400 is about 1850.8268424714.

Adding to 6340118400 its reverse (48110436), we get a palindrome (6388228836).

It can be divided in two parts, 634011 and 8400, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 6340118400 in words is "six billion, three hundred forty million, one hundred eighteen thousand, four hundred".