6197419800 has 288 divisors, whose sum is σ = 24452653680. Its totient is φ = 1386777600.

The previous prime is 6197419793. The next prime is 6197419831. The reversal of 6197419800 is 89147916.

It is a happy number.

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

It is a congruent number.

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, 245362 + ... + 269438.

Almost surely, 2^6197419800 is an apocalyptic number.

6197419800 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 6197419800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12226326840).

6197419800 is an abundant number, since it is smaller than the sum of its proper divisors (18255233880).

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

6197419800 is a wasteful number, since it uses less digits than its factorization.

6197419800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24123 (or 24111 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 6197419800 is about 78723.6927487526. The cubic root of 6197419800 is about 1836.8356726630.

It can be divided in two parts, 61 and 97419800, that added together give a triangular number (97419861 = T₁₃₉₅₈).

The spelling of 6197419800 in words is "six billion, one hundred ninety-seven million, four hundred nineteen thousand, eight hundred".