4635245160 has 1152 divisors, whose sum is σ = 21175408800. Its totient is φ = 867041280.

The previous prime is 4635245137. The next prime is 4635245171. The reversal of 4635245160 is 615425364.

4635245160 is a `hidden beast` number, since 4 + 635 + 2 + 4 + 5 + 16 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 86436 + 4635158724 = 294^2 + 68082^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 113054740 + ... + 113054780.

Almost surely, 2^4635245160 is an apocalyptic number.

4635245160 is a gapful number since it is divisible by the number (40) 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 4635245160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10587704400).

4635245160 is an abundant number, since it is smaller than the sum of its proper divisors (16540163640).

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

4635245160 is a wasteful number, since it uses less digits than its factorization.

4635245160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 4635245160 is about 68082.6347903781. The cubic root of 4635245160 is about 1667.3402580392.

The spelling of 4635245160 in words is "four billion, six hundred thirty-five million, two hundred forty-five thousand, one hundred sixty".