4006625760 has 288 divisors, whose sum is σ = 15020328960. Its totient is φ = 968039424.

The previous prime is 4006625731. The next prime is 4006625801. The reversal of 4006625760 is 675266004.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 626097 + ... + 632463.

It is an arithmetic number, because the mean of its divisors is an integer number (52153920).

Almost surely, 2^4006625760 is an apocalyptic number.

4006625760 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 4006625760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7510164480).

4006625760 is an abundant number, since it is smaller than the sum of its proper divisors (11013703200).

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

4006625760 is a wasteful number, since it uses less digits than its factorization.

4006625760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6430 (or 6419 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4006625760 is about 63297.9127617965. The cubic root of 4006625760 is about 1588.2770466680.

The spelling of 4006625760 in words is "four billion, six million, six hundred twenty-five thousand, seven hundred sixty".