4250695680 has 576 divisors, whose sum is σ = 18398016000. Its totient is φ = 881786880.

The previous prime is 4250695661. The next prime is 4250695703. The reversal of 4250695680 is 865960524.

4250695680 is a `hidden beast` number, since 4 + 25 + 0 + 69 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 7096021 + ... + 7096619.

It is an arithmetic number, because the mean of its divisors is an integer number (31941000).

Almost surely, 2^4250695680 is an apocalyptic number.

4250695680 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 4250695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9199008000).

4250695680 is an abundant number, since it is smaller than the sum of its proper divisors (14147320320).

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

4250695680 is a wasteful number, since it uses less digits than its factorization.

4250695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 4250695680 is about 65197.3594557326. The cubic root of 4250695680 is about 1619.8942775085.

The spelling of 4250695680 in words is "four billion, two hundred fifty million, six hundred ninety-five thousand, six hundred eighty".