6051757440 has 256 divisors, whose sum is σ = 20110809600. Its totient is φ = 1546567680.

The previous prime is 6051757433. The next prime is 6051757471. The reversal of 6051757440 is 447571506.

It is a super-2 number, since 2×6051757440² = 73247536225190707200, which contains 22 as substring.

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, 4643829 + ... + 4645131.

It is an arithmetic number, because the mean of its divisors is an integer number (78557850).

Almost surely, 2^6051757440 is an apocalyptic number.

6051757440 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 6051757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10055404800).

6051757440 is an abundant number, since it is smaller than the sum of its proper divisors (14059052160).

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

6051757440 is a wasteful number, since it uses less digits than its factorization.

6051757440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 6051757440 is about 77793.0423624118. The cubic root of 6051757440 is about 1822.3306132453.

The spelling of 6051757440 in words is "six billion, fifty-one million, seven hundred fifty-seven thousand, four hundred forty".