4652631360 has 448 divisors, whose sum is σ = 18454786560. Its totient is φ = 1094860800.

The previous prime is 4652631323. The next prime is 4652631397. The reversal of 4652631360 is 631362564.

4652631360 is a `hidden beast` number, since 46 + 526 + 31 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4652631323) and next prime (4652631397).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2582460 + ... + 2584260.

It is an arithmetic number, because the mean of its divisors is an integer number (41193720).

Almost surely, 2^4652631360 is an apocalyptic number.

4652631360 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 4652631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9227393280).

4652631360 is an abundant number, since it is smaller than the sum of its proper divisors (13802155200).

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

4652631360 is a wasteful number, since it uses less digits than its factorization.

4652631360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 4652631360 is about 68210.1998237800. The cubic root of 4652631360 is about 1669.4223156393.

The spelling of 4652631360 in words is "four billion, six hundred fifty-two million, six hundred thirty-one thousand, three hundred sixty".