6158532240 has 480 divisors, whose sum is σ = 24475266816. Its totient is φ = 1358622720.

The previous prime is 6158532227. The next prime is 6158532241. The reversal of 6158532240 is 422358516.

6158532240 is a `hidden beast` number, since 6 + 1 + 585 + 32 + 2 + 40 = 666.

It is a super-2 number, since 2×6158532240² = 75855038702238835200, which contains 22 as substring.

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 = 6158532195 and 6158532204.

It is not an unprimeable number, because it can be changed into a prime (6158532241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34024950 + ... + 34025130.

Almost surely, 2^6158532240 is an apocalyptic number.

6158532240 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 6158532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12237633408).

6158532240 is an abundant number, since it is smaller than the sum of its proper divisors (18316734576).

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

6158532240 is a wasteful number, since it uses less digits than its factorization.

6158532240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 6158532240 is about 78476.3164273146. The cubic root of 6158532240 is about 1832.9856842367.

The spelling of 6158532240 in words is "six billion, one hundred fifty-eight million, five hundred thirty-two thousand, two hundred forty".