4251759660 has 240 divisors, whose sum is σ = 13674076416. Its totient is φ = 1105653888.

The previous prime is 4251759649. The next prime is 4251759671. The reversal of 4251759660 is 669571524.

4251759660 is a `hidden beast` number, since 4 + 2 + 51 + 7 + 596 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4251759649) and next prime (4251759671).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 13849227 + ... + 13849533.

It is a vampire number, since it can be written as 55260 ⋅ 76941 (with its own digits).

Almost surely, 2^4251759660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4251759660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6837038208).

4251759660 is an abundant number, since it is smaller than the sum of its proper divisors (9422316756).

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

4251759660 is a wasteful number, since it uses less digits than its factorization.

4251759660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 4251759660 is about 65205.5186314778. The cubic root of 4251759660 is about 1620.0294233339.

The spelling of 4251759660 in words is "four billion, two hundred fifty-one million, seven hundred fifty-nine thousand, six hundred sixty".