6190542400 has 189 divisors, whose sum is σ = 17782842387. Its totient is φ = 2114918400.

The previous prime is 6190542341. The next prime is 6190542431. The reversal of 6190542400 is 42450916.

The square root of 6190542400 is 78680.

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 8809024 + 6181733376 = 2968^2 + 78624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22030260 + ... + 22030540.

Almost surely, 2^6190542400 is an apocalyptic number.

6190542400 is the 78680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6190542400

6190542400 is an abundant number, since it is smaller than the sum of its proper divisors (11592299987).

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

6190542400 is an equidigital number, since it uses as much as digits as its factorization.

6190542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The cubic root of 6190542400 is about 1836.1559634804.

The spelling of 6190542400 in words is "six billion, one hundred ninety million, five hundred forty-two thousand, four hundred".