4954920960 has 576 divisors, whose sum is σ = 18404305920. Its totient is φ = 1135411200.

The previous prime is 4954920851. The next prime is 4954920961. The reversal of 4954920960 is 690294594.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4954920961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115230699 + ... + 115230741.

It is an arithmetic number, because the mean of its divisors is an integer number (31951920).

Almost surely, 2^4954920960 is an apocalyptic number.

4954920960 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 4954920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9202152960).

4954920960 is an abundant number, since it is smaller than the sum of its proper divisors (13449384960).

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

4954920960 is a wasteful number, since it uses less digits than its factorization.

4954920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 4954920960 is about 70391.1994499312. The cubic root of 4954920960 is about 1704.8214866867.

The spelling of 4954920960 in words is "four billion, nine hundred fifty-four million, nine hundred twenty thousand, nine hundred sixty".