6241001600 has 96 divisors (see below), whose sum is σ = 15439318740. Its totient is φ = 2492825600.

The previous prime is 6241001587. The next prime is 6241001609. The reversal of 6241001600 is 61001426.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2243727424 + 3997274176 = 47368^2 + 63224^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6241001609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4354484 + ... + 4355916.

Almost surely, 2^6241001600 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 6241001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7719659370).

6241001600 is an abundant number, since it is smaller than the sum of its proper divisors (9198317140).

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

6241001600 is a wasteful number, since it uses less digits than its factorization.

6241001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 6241001600 is about 79000.0101265816. The cubic root of 6241001600 is about 1841.1313143567.

It can be divided in two parts, 624100 and 1600, that multiplied together give a square (998560000 = 31600²).

The spelling of 6241001600 in words is "six billion, two hundred forty-one million, one thousand, six hundred".