4800723840 has 384 divisors, whose sum is σ = 19152637920. Its totient is φ = 1095106560.

The previous prime is 4800723803. The next prime is 4800723869. The reversal of 4800723840 is 483270084.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4800723795 and 4800723804.

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, 1074892 + ... + 1079348.

Almost surely, 2^4800723840 is an apocalyptic number.

4800723840 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 4800723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576318960).

4800723840 is an abundant number, since it is smaller than the sum of its proper divisors (14351914080).

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

4800723840 is a wasteful number, since it uses less digits than its factorization.

4800723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4800723840 is about 69287.2559710658. The cubic root of 4800723840 is about 1686.9501194389.

The spelling of 4800723840 in words is "four billion, eight hundred million, seven hundred twenty-three thousand, eight hundred forty".