6201242880 has 288 divisors, whose sum is σ = 22742754048. Its totient is φ = 1410662400.

The previous prime is 6201242851. The next prime is 6201242891. The reversal of 6201242880 is 882421026.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7552870 + ... + 7553690.

It is an arithmetic number, because the mean of its divisors is an integer number (78967896).

Almost surely, 2^6201242880 is an apocalyptic number.

6201242880 is a gapful number since it is divisible by the number (60) 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 6201242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11371377024).

6201242880 is an abundant number, since it is smaller than the sum of its proper divisors (16541511168).

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

6201242880 is a wasteful number, since it uses less digits than its factorization.

6201242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 6201242880 is about 78747.9706405187. The cubic root of 6201242880 is about 1837.2132989684.

The spelling of 6201242880 in words is "six billion, two hundred one million, two hundred forty-two thousand, eight hundred eighty".