4602224640 has 448 divisors, whose sum is σ = 16470026496. Its totient is φ = 1089994752.

The previous prime is 4602224623. The next prime is 4602224651. The reversal of 4602224640 is 464222064.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4602224598 and 4602224607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68689887 + ... + 68689953.

It is an arithmetic number, because the mean of its divisors is an integer number (36763452).

Almost surely, 2^4602224640 is an apocalyptic number.

4602224640 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 4602224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8235013248).

4602224640 is an abundant number, since it is smaller than the sum of its proper divisors (11867801856).

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

4602224640 is a wasteful number, since it uses less digits than its factorization.

4602224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 4602224640 is about 67839.6981125358. The cubic root of 4602224640 is about 1663.3715575580.

The spelling of 4602224640 in words is "four billion, six hundred two million, two hundred twenty-four thousand, six hundred forty".