4735779840 has 264 divisors, whose sum is σ = 17903029248. Its totient is φ = 1147944960.

The previous prime is 4735779799. The next prime is 4735779877. The reversal of 4735779840 is 489775374.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×4735779840² = 44855221385900851200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502209 + ... + 511551.

Almost surely, 2^4735779840 is an apocalyptic number.

4735779840 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 4735779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951514624).

4735779840 is an abundant number, since it is smaller than the sum of its proper divisors (13167249408).

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

4735779840 is a wasteful number, since it uses less digits than its factorization.

4735779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9385 (or 9364 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The square root of 4735779840 is about 68817.0025502419. The cubic root of 4735779840 is about 1679.3085589987.

The spelling of 4735779840 in words is "four billion, seven hundred thirty-five million, seven hundred seventy-nine thousand, eight hundred forty".