6151717440 has 504 divisors, whose sum is σ = 23609564160. Its totient is φ = 1468938240.

The previous prime is 6151717361. The next prime is 6151717459. The reversal of 6151717440 is 447171516.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6151717395 and 6151717404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44256891 + ... + 44257029.

Almost surely, 2^6151717440 is an apocalyptic number.

6151717440 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 6151717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11804782080).

6151717440 is an abundant number, since it is smaller than the sum of its proper divisors (17457846720).

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

6151717440 is a wasteful number, since it uses less digits than its factorization.

6151717440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 6151717440 is about 78432.8849399281. The cubic root of 6151717440 is about 1832.3093303749.

Adding to 6151717440 its reverse (447171516), we get a palindrome (6598888956).

The spelling of 6151717440 in words is "six billion, one hundred fifty-one million, seven hundred seventeen thousand, four hundred forty".