4672369760 has 96 divisors (see below), whose sum is σ = 11908687392. Its totient is φ = 1725767680.

The previous prime is 4672369729. The next prime is 4672369837. The reversal of 4672369760 is 679632764.

It is a junction number, because it is equal to n+sod(n) for n = 4672369699 and 4672369708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127955 + ... + 160365.

It is an arithmetic number, because the mean of its divisors is an integer number (124048827).

Almost surely, 2^4672369760 is an apocalyptic number.

4672369760 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 4672369760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5954343696).

4672369760 is an abundant number, since it is smaller than the sum of its proper divisors (7236317632).

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

4672369760 is a wasteful number, since it uses less digits than its factorization.

4672369760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32496 (or 32488 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 50.

The square root of 4672369760 is about 68354.7347299366. The cubic root of 4672369760 is about 1671.7797799136.

The spelling of 4672369760 in words is "four billion, six hundred seventy-two million, three hundred sixty-nine thousand, seven hundred sixty".