4672639440 has 160 divisors (see below), whose sum is σ = 18393941760. Its totient is φ = 1068028416.

The previous prime is 4672639381. The next prime is 4672639441. The reversal of 4672639440 is 449362764.

It is a happy number.

4672639440 is a `hidden beast` number, since 4 + 6 + 7 + 2 + 639 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672639441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139399 + ... + 169638.

It is an arithmetic number, because the mean of its divisors is an integer number (114962136).

Almost surely, 2^4672639440 is an apocalyptic number.

4672639440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4672639440 is an abundant number, since it is smaller than the sum of its proper divisors (13721302320).

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

4672639440 is a wasteful number, since it uses less digits than its factorization.

4672639440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309066 (or 309054 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 4672639440 is about 68356.7073519490. The cubic root of 4672639440 is about 1671.8119432426.

The spelling of 4672639440 in words is "four billion, six hundred seventy-two million, six hundred thirty-nine thousand, four hundred forty".