4006676520 has 192 divisors, whose sum is σ = 16234957440. Its totient is φ = 832550400.

The previous prime is 4006676519. The next prime is 4006676533. The reversal of 4006676520 is 256766004.

4006676520 is a `hidden beast` number, since 4 + 0 + 0 + 66 + 76 + 520 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44551 + ... + 99990.

It is an arithmetic number, because the mean of its divisors is an integer number (84557070).

Almost surely, 2^4006676520 is an apocalyptic number.

4006676520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4006676520 is an abundant number, since it is smaller than the sum of its proper divisors (12228280920).

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

4006676520 is a wasteful number, since it uses less digits than its factorization.

4006676520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144576 (or 144569 counting only the distinct ones).

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

The square root of 4006676520 is about 63298.3137216150. The cubic root of 4006676520 is about 1588.2837539414.

The spelling of 4006676520 in words is "four billion, six million, six hundred seventy-six thousand, five hundred twenty".