6285157632 has 288 divisors, whose sum is σ = 20225788800. Its totient is φ = 1913683968.

The previous prime is 6285157621. The next prime is 6285157639. The reversal of 6285157632 is 2367515826.

6285157632 is a `hidden beast` number, since 6 + 2 + 8 + 5 + 1 + 5 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6285157639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10153419 + ... + 10154037.

Almost surely, 2^6285157632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6285157632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10112894400).

6285157632 is an abundant number, since it is smaller than the sum of its proper divisors (13940631168).

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

6285157632 is a wasteful number, since it uses less digits than its factorization.

6285157632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 750 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 6285157632 is about 79278.9860681883. The cubic root of 6285157632 is about 1845.4632084370.

The spelling of 6285157632 in words is "six billion, two hundred eighty-five million, one hundred fifty-seven thousand, six hundred thirty-two".