4976967680 has 128 divisors (see below), whose sum is σ = 12282307560. Its totient is φ = 1934622720.

The previous prime is 4976967661. The next prime is 4976967713. The reversal of 4976967680 is 867696794.

It can be written as a sum of positive squares in 4 ways, for example, as 4379262976 + 597704704 = 66176^2 + 24448^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6061670 + ... + 6062490.

Almost surely, 2^4976967680 is an apocalyptic number.

4976967680 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 4976967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6141153780).

4976967680 is an abundant number, since it is smaller than the sum of its proper divisors (7305339880).

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

4976967680 is an frugal number, since it uses more digits than its factorization.

4976967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 62.

The square root of 4976967680 is about 70547.6270330902. The cubic root of 4976967680 is about 1707.3462571306.

The spelling of 4976967680 in words is "four billion, nine hundred seventy-six million, nine hundred sixty-seven thousand, six hundred eighty".