4629872640 has 120 divisors (see below), whose sum is σ = 14815926720. Its totient is φ = 1234567168.

The previous prime is 4629872581. The next prime is 4629872669. The reversal of 4629872640 is 462789264.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4629872640.

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 7 ways as a sum of consecutive naturals, for example, 236341 + ... + 255179.

It is an arithmetic number, because the mean of its divisors is an integer number (123466056).

Almost surely, 2^4629872640 is an apocalyptic number.

4629872640 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 4629872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7407963360).

4629872640 is an abundant number, since it is smaller than the sum of its proper divisors (10186054080).

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

4629872640 is an equidigital number, since it uses as much as digits as its factorization.

4629872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18875 (or 18849 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 4629872640 is about 68043.1674747730. The cubic root of 4629872640 is about 1666.6958274009.

The spelling of 4629872640 in words is "four billion, six hundred twenty-nine million, eight hundred seventy-two thousand, six hundred forty".