6247820190096 has 225 divisors, whose sum is σ = 18488655240081. Its totient is φ = 1969576445952.

The previous prime is 6247820190061. The next prime is 6247820190107. The reversal of 6247820190096 is 6900910287426.

The square root of 6247820190096 is 2499564.

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

6247820190096 is a `hidden beast` number, since 62 + 478 + 20 + 1 + 9 + 0 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6204582810000 + 43237380096 = 2490900^2 + 207936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10828110960 + ... + 10828111536.

Almost surely, 2^{6247820190096} is an apocalyptic number.

6247820190096 is the 2499564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6247820190096

6247820190096 is an abundant number, since it is smaller than the sum of its proper divisors (12240835049985).

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

6247820190096 is an frugal number, since it uses more digits than its factorization.

6247820190096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 6247820190096 in words is "six trillion, two hundred forty-seven billion, eight hundred twenty million, one hundred ninety thousand, ninety-six".