6153305040 has 240 divisors, whose sum is σ = 23032900800. Its totient is φ = 1463021568.

The previous prime is 6153305009. The next prime is 6153305089. The reversal of 6153305040 is 405033516.

6153305040 is a `hidden beast` number, since 6 + 153 + 3 + 0 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 6153304995 and 6153305013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219331 + ... + 245789.

It is an arithmetic number, because the mean of its divisors is an integer number (95970420).

Almost surely, 2^6153305040 is an apocalyptic number.

6153305040 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 6153305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11516450400).

6153305040 is an abundant number, since it is smaller than the sum of its proper divisors (16879595760).

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

6153305040 is a wasteful number, since it uses less digits than its factorization.

6153305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26514 (or 26505 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 6153305040 is about 78443.0050418774. The cubic root of 6153305040 is about 1832.4669407828.

Adding to 6153305040 its reverse (405033516), we get a palindrome (6558338556).

The spelling of 6153305040 in words is "six billion, one hundred fifty-three million, three hundred five thousand, forty".