4630804640 has 384 divisors, whose sum is σ = 14608097280. Its totient is φ = 1343692800.

The previous prime is 4630804627. The next prime is 4630804649. The reversal of 4630804640 is 464080364.

It is a happy number.

It is a super-2 number, since 2×4630804640² = 42888703227691059200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4630804640.

It is not an unprimeable number, because it can be changed into a prime (4630804649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17087705 + ... + 17087975.

It is an arithmetic number, because the mean of its divisors is an integer number (38041920).

Almost surely, 2^4630804640 is an apocalyptic number.

4630804640 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 4630804640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7304048640).

4630804640 is an abundant number, since it is smaller than the sum of its proper divisors (9977292640).

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

4630804640 is a wasteful number, since it uses less digits than its factorization.

4630804640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 4630804640 is about 68050.0157237307. The cubic root of 4630804640 is about 1666.8076559840.

The spelling of 4630804640 in words is "four billion, six hundred thirty million, eight hundred four thousand, six hundred forty".