4724144640 has 320 divisors, whose sum is σ = 17200149120. Its totient is φ = 1228308480.

The previous prime is 4724144627. The next prime is 4724144651. The reversal of 4724144640 is 464414274.

4724144640 is a `hidden beast` number, since 4 + 7 + 2 + 4 + 1 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 4724144595 and 4724144604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2833087 + ... + 2834753.

It is an arithmetic number, because the mean of its divisors is an integer number (53750466).

Almost surely, 2^4724144640 is an apocalyptic number.

4724144640 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 4724144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8600074560).

4724144640 is an abundant number, since it is smaller than the sum of its proper divisors (12476004480).

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

4724144640 is a wasteful number, since it uses less digits than its factorization.

4724144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 4724144640 is about 68732.4133142435. The cubic root of 4724144640 is about 1677.9321496808.

The spelling of 4724144640 in words is "four billion, seven hundred twenty-four million, one hundred forty-four thousand, six hundred forty".