4794628320 has 288 divisors, whose sum is σ = 17567982432. Its totient is φ = 1186430976.

The previous prime is 4794628309. The next prime is 4794628373. The reversal of 4794628320 is 238264974.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1785699 + ... + 1788381.

It is an arithmetic number, because the mean of its divisors is an integer number (60999939).

Almost surely, 2^4794628320 is an apocalyptic number.

4794628320 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 4794628320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8783991216).

4794628320 is an abundant number, since it is smaller than the sum of its proper divisors (12773354112).

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

4794628320 is a wasteful number, since it uses less digits than its factorization.

4794628320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4794628320 is about 69243.2546895364. The cubic root of 4794628320 is about 1686.2358387265.

The spelling of 4794628320 in words is "four billion, seven hundred ninety-four million, six hundred twenty-eight thousand, three hundred twenty".