4680369792 has 384 divisors, whose sum is σ = 16085122560. Its totient is φ = 1278590976.

The previous prime is 4680369779. The next prime is 4680369821. The reversal of 4680369792 is 2979630864.

It is a happy number.

4680369792 is a `hidden beast` number, since 468 + 0 + 3 + 6 + 97 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4680369792² = 43811722779732246528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20087308 + ... + 20087540.

It is an arithmetic number, because the mean of its divisors is an integer number (41888340).

Almost surely, 2^4680369792 is an apocalyptic number.

4680369792 is a gapful number since it is divisible by the number (42) 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 4680369792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8042561280).

4680369792 is an abundant number, since it is smaller than the sum of its proper divisors (11404752768).

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

4680369792 is a wasteful number, since it uses less digits than its factorization.

4680369792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 4680369792 is about 68413.2281945531. The cubic root of 4680369792 is about 1672.7333763769.

The spelling of 4680369792 in words is "four billion, six hundred eighty million, three hundred sixty-nine thousand, seven hundred ninety-two".