6157591440 has 960 divisors, whose sum is σ = 27430244352. Its totient is φ = 1103155200.

The previous prime is 6157591417. The next prime is 6157591501. The reversal of 6157591440 is 441957516.

It is a super-2 number, since 2×6157591440² = 75831864683922547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6157591392 and 6157591401.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86726605 + ... + 86726675.

Almost surely, 2^6157591440 is an apocalyptic number.

6157591440 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 6157591440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13715122176).

6157591440 is an abundant number, since it is smaller than the sum of its proper divisors (21272652912).

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

6157591440 is a wasteful number, since it uses less digits than its factorization.

6157591440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 6157591440 is about 78470.3220332375. The cubic root of 6157591440 is about 1832.8923416087.

The spelling of 6157591440 in words is "six billion, one hundred fifty-seven million, five hundred ninety-one thousand, four hundred forty".