4736790240 has 384 divisors, whose sum is σ = 19447464960. Its totient is φ = 940474368.

The previous prime is 4736790221. The next prime is 4736790241. The reversal of 4736790240 is 420976374.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4736790192 and 4736790201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4736790241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 739371 + ... + 745749.

It is an arithmetic number, because the mean of its divisors is an integer number (50644440).

Almost surely, 2^4736790240 is an apocalyptic number.

4736790240 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 4736790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9723732480).

4736790240 is an abundant number, since it is smaller than the sum of its proper divisors (14710674720).

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

4736790240 is a wasteful number, since it uses less digits than its factorization.

4736790240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6434 (or 6426 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 4736790240 is about 68824.3433677358. The cubic root of 4736790240 is about 1679.4279798592.

The spelling of 4736790240 in words is "four billion, seven hundred thirty-six million, seven hundred ninety thousand, two hundred forty".