4930084776960 has 3168 divisors, whose sum is σ = 22457388215808. Its totient is φ = 1030045040640.

The previous prime is 4930084776913. The next prime is 4930084777003. The reversal of 4930084776960 is 696774800394.

4930084776960 is a `hidden beast` number, since 49 + 3 + 0 + 0 + 8 + 477 + 69 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 69437813725 + ... + 69437813795.

Almost surely, 2^{4930084776960} is an apocalyptic number.

4930084776960 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 4930084776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11228694107904).

4930084776960 is an abundant number, since it is smaller than the sum of its proper divisors (17527303438848).

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

4930084776960 is a wasteful number, since it uses less digits than its factorization.

4930084776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 4930084776960 in words is "four trillion, nine hundred thirty billion, eighty-four million, seven hundred seventy-six thousand, nine hundred sixty".