6197680400 has 60 divisors (see below), whose sum is σ = 14925867600. Its totient is φ = 2473088640.

The previous prime is 6197680399. The next prime is 6197680409. The reversal of 6197680400 is 40867916.

It is a super-2 number, since 2×6197680400² = 76822484681088320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6197680409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149111 + ... + 186089.

It is an arithmetic number, because the mean of its divisors is an integer number (248764460).

Almost surely, 2^6197680400 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 6197680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7462933800).

6197680400 is an abundant number, since it is smaller than the sum of its proper divisors (8728187200).

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

6197680400 is a wasteful number, since it uses less digits than its factorization.

6197680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37416 (or 37405 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 6197680400 is about 78725.3478874498. The cubic root of 6197680400 is about 1836.8614184670.

The spelling of 6197680400 in words is "six billion, one hundred ninety-seven million, six hundred eighty thousand, four hundred".