6195398400 has 1080 divisors, whose sum is σ = 26221290480. Its totient is φ = 1433272320.

The previous prime is 6195398399. The next prime is 6195398401. The reversal of 6195398400 is 48935916.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6195398399) and next prime (6195398401).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×6195398400² = 76765922669445120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6195398401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 167443182 + ... + 167443218.

Almost surely, 2^6195398400 is an apocalyptic number.

6195398400 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 6195398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13110645240).

6195398400 is an abundant number, since it is smaller than the sum of its proper divisors (20025892080).

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

6195398400 is a wasteful number, since it uses less digits than its factorization.

6195398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 6195398400 is about 78710.8531271260. The cubic root of 6195398400 is about 1836.6359452761.

The spelling of 6195398400 in words is "six billion, one hundred ninety-five million, three hundred ninety-eight thousand, four hundred".