4635156960 has 504 divisors, whose sum is σ = 19122419736. Its totient is φ = 1058158080.

The previous prime is 4635156959. The next prime is 4635157013. The reversal of 4635156960 is 696515364.

4635156960 is a `hidden beast` number, since 4 + 635 + 1 + 5 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5714955 + ... + 5715765.

It is an arithmetic number, because the mean of its divisors is an integer number (37941309).

Almost surely, 2^4635156960 is an apocalyptic number.

4635156960 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 4635156960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9561209868).

4635156960 is an abundant number, since it is smaller than the sum of its proper divisors (14487262776).

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

4635156960 is an equidigital number, since it uses as much as digits as its factorization.

4635156960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 4635156960 is about 68081.9870450327. The cubic root of 4635156960 is about 1667.3296825221.

The spelling of 4635156960 in words is "four billion, six hundred thirty-five million, one hundred fifty-six thousand, nine hundred sixty".