4673764480 has 128 divisors (see below), whose sum is σ = 13930392960. Its totient is φ = 1456742400.

The previous prime is 4673764477. The next prime is 4673764481. The reversal of 4673764480 is 844673764.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (4673764481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1860 + ... + 96700.

It is an arithmetic number, because the mean of its divisors is an integer number (108831195).

Almost surely, 2^4673764480 is an apocalyptic number.

4673764480 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 4673764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6965196480).

4673764480 is an abundant number, since it is smaller than the sum of its proper divisors (9256628480).

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

4673764480 is a wasteful number, since it uses less digits than its factorization.

4673764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94878 (or 94866 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 49.

The square root of 4673764480 is about 68364.9360418044. The cubic root of 4673764480 is about 1671.9461075553.

It can be divided in two parts, 4673764 and 480, that added together give a square (4674244 = 2162²).

The spelling of 4673764480 in words is "four billion, six hundred seventy-three million, seven hundred sixty-four thousand, four hundred eighty".