6157165440 has 384 divisors, whose sum is σ = 21002664960. Its totient is φ = 1533235200.

The previous prime is 6157165439. The next prime is 6157165457. The reversal of 6157165440 is 445617516.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86720605 + ... + 86720675.

It is an arithmetic number, because the mean of its divisors is an integer number (54694440).

Almost surely, 2^6157165440 is an apocalyptic number.

6157165440 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 6157165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10501332480).

6157165440 is an abundant number, since it is smaller than the sum of its proper divisors (14845499520).

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

6157165440 is a wasteful number, since it uses less digits than its factorization.

6157165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 6157165440 is about 78467.6075842765. The cubic root of 6157165440 is about 1832.8500723680.

The spelling of 6157165440 in words is "six billion, one hundred fifty-seven million, one hundred sixty-five thousand, four hundred forty".