6201702144 has 576 divisors, whose sum is σ = 21721996800. Its totient is φ = 1746800640.

The previous prime is 6201702121. The next prime is 6201702151. The reversal of 6201702144 is 4412071026.

6201702144 is a `hidden beast` number, since 620 + 17 + 0 + 21 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6201702144² = 76922218965788393472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117013222 + ... + 117013274.

It is an arithmetic number, because the mean of its divisors is an integer number (37711800).

Almost surely, 2^6201702144 is an apocalyptic number.

6201702144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6201702144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10860998400).

6201702144 is an abundant number, since it is smaller than the sum of its proper divisors (15520294656).

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

6201702144 is an equidigital number, since it uses as much as digits as its factorization.

6201702144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6201702144 is about 78750.8866235803. The cubic root of 6201702144 is about 1837.2586525164.

The spelling of 6201702144 in words is "six billion, two hundred one million, seven hundred two thousand, one hundred forty-four".