4973814720 has 560 divisors, whose sum is σ = 20535229440. Its totient is φ = 1119246336.

The previous prime is 4973814719. The next prime is 4973814749. The reversal of 4973814720 is 274183794.

It is a tau number, because it is divible by the number of its divisors (560).

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 79 ways as a sum of consecutive naturals, for example, 14333587 + ... + 14333933.

Almost surely, 2^4973814720 is an apocalyptic number.

4973814720 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 4973814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10267614720).

4973814720 is an abundant number, since it is smaller than the sum of its proper divisors (15561414720).

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

4973814720 is a wasteful number, since it uses less digits than its factorization.

4973814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4973814720 is about 70525.2771706712. The cubic root of 4973814720 is about 1706.9856405215.

The spelling of 4973814720 in words is "four billion, nine hundred seventy-three million, eight hundred fourteen thousand, seven hundred twenty".