4007626896 has 120 divisors (see below), whose sum is σ = 12969836544. Its totient is φ = 1056948480.

The previous prime is 4007626849. The next prime is 4007626907. The reversal of 4007626896 is 6986267004.

It is a super-2 number, since 2×4007626896² = 32122146675085189632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34960 + ... + 96111.

Almost surely, 2^4007626896 is an apocalyptic number.

It is an amenable number.

4007626896 is an abundant number, since it is smaller than the sum of its proper divisors (8962209648).

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

4007626896 is a wasteful number, since it uses less digits than its factorization.

4007626896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131109 (or 131096 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 4007626896 is about 63305.8203959162. The cubic root of 4007626896 is about 1588.4093233022.

The spelling of 4007626896 in words is "four billion, seven million, six hundred twenty-six thousand, eight hundred ninety-six".