6198097984 has 63 divisors (see below), whose sum is σ = 13335848487. Its totient is φ = 2856881664.

The previous prime is 6198097909. The next prime is 6198098033. The reversal of 6198097984 is 4897908916.

The square root of 6198097984 is 78728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 446392384 + 5751705600 = 21128^2 + 75840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8187334 + ... + 8188090.

Almost surely, 2^6198097984 is an apocalyptic number.

6198097984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6198097984 is the 78728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6198097984

6198097984 is an abundant number, since it is smaller than the sum of its proper divisors (7137750503).

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

6198097984 is an frugal number, since it uses more digits than its factorization.

6198097984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 61.

The cubic root of 6198097984 is about 1836.9026718964.

The spelling of 6198097984 in words is "six billion, one hundred ninety-eight million, ninety-seven thousand, nine hundred eighty-four".