4667790960 has 480 divisors, whose sum is σ = 18767548800. Its totient is φ = 1038643200.

The previous prime is 4667790923. The next prime is 4667790983. The reversal of 4667790960 is 690977664.

4667790960 is a `hidden beast` number, since 466 + 7 + 7 + 90 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4667790897 and 4667790906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10125130 + ... + 10125590.

It is an arithmetic number, because the mean of its divisors is an integer number (39099060).

Almost surely, 2^4667790960 is an apocalyptic number.

4667790960 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 4667790960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9383774400).

4667790960 is an abundant number, since it is smaller than the sum of its proper divisors (14099757840).

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

4667790960 is a wasteful number, since it uses less digits than its factorization.

4667790960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 4667790960 is about 68321.2335954204. The cubic root of 4667790960 is about 1671.2335012945.

The spelling of 4667790960 in words is "four billion, six hundred sixty-seven million, seven hundred ninety thousand, nine hundred sixty".