4634616840 has 512 divisors, whose sum is σ = 17856184320. Its totient is φ = 937525248.

The previous prime is 4634616809. The next prime is 4634616881. The reversal of 4634616840 is 486164364.

It is a happy number.

It is a super-2 number, since 2×4634616840² = 42959346507223171200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4634616792 and 4634616801.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33829252 + ... + 33829388.

It is an arithmetic number, because the mean of its divisors is an integer number (34875360).

Almost surely, 2^4634616840 is an apocalyptic number.

4634616840 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 4634616840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928092160).

4634616840 is an abundant number, since it is smaller than the sum of its proper divisors (13221567480).

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

4634616840 is a wasteful number, since it uses less digits than its factorization.

4634616840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 4634616840 is about 68078.0202414847. The cubic root of 4634616840 is about 1667.2649171432.

The spelling of 4634616840 in words is "four billion, six hundred thirty-four million, six hundred sixteen thousand, eight hundred forty".