4610632999320 has 256 divisors, whose sum is σ = 15750599040000. Its totient is φ = 1199045127168.

The previous prime is 4610632999261. The next prime is 4610632999409. The reversal of 4610632999320 is 239992360164.

4610632999320 is a `hidden beast` number, since 461 + 0 + 6 + 3 + 2 + 99 + 93 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29969956 + ... + 30123404.

It is an arithmetic number, because the mean of its divisors is an integer number (61525777500).

Almost surely, 2^{4610632999320} is an apocalyptic number.

4610632999320 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 4610632999320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7875299520000).

4610632999320 is an abundant number, since it is smaller than the sum of its proper divisors (11139966040680).

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

4610632999320 is a wasteful number, since it uses less digits than its factorization.

4610632999320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154159 (or 154149 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 4610632999320 in words is "four trillion, six hundred ten billion, six hundred thirty-two million, nine hundred ninety-nine thousand, three hundred twenty".