4952767680 has 504 divisors, whose sum is σ = 20276868768. Its totient is φ = 1128701952.

The previous prime is 4952767679. The next prime is 4952767723. The reversal of 4952767680 is 867672594.

4952767680 is a `hidden beast` number, since 49 + 527 + 6 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14696472 + ... + 14696808.

Almost surely, 2^4952767680 is an apocalyptic number.

4952767680 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 4952767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10138434384).

4952767680 is an abundant number, since it is smaller than the sum of its proper divisors (15324101088).

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

4952767680 is an frugal number, since it uses more digits than its factorization.

4952767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 4952767680 is about 70375.9026940330. The cubic root of 4952767680 is about 1704.5744938529.

The spelling of 4952767680 in words is "four billion, nine hundred fifty-two million, seven hundred sixty-seven thousand, six hundred eighty".