4251713760 has 384 divisors, whose sum is σ = 17749186560. Its totient is φ = 929415168.

The previous prime is 4251713743. The next prime is 4251713777. The reversal of 4251713760 is 673171524.

It is a happy number.

4251713760 is a `hidden beast` number, since 4 + 2 + 517 + 137 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4251713743) and next prime (4251713777).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 692464 + ... + 698576.

It is an arithmetic number, because the mean of its divisors is an integer number (46221840).

Almost surely, 2^4251713760 is an apocalyptic number.

4251713760 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 4251713760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8874593280).

4251713760 is an abundant number, since it is smaller than the sum of its proper divisors (13497472800).

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

4251713760 is a wasteful number, since it uses less digits than its factorization.

4251713760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6167 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 4251713760 is about 65205.1666664537. The cubic root of 4251713760 is about 1620.0235936207.

The spelling of 4251713760 in words is "four billion, two hundred fifty-one million, seven hundred thirteen thousand, seven hundred sixty".