4006496520 has 384 divisors, whose sum is σ = 14693875200. Its totient is φ = 982575360.

The previous prime is 4006496497. The next prime is 4006496521. The reversal of 4006496520 is 256946004.

4006496520 is a `hidden beast` number, since 4 + 0 + 0 + 649 + 6 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×4006496520² = 32104028729544220800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4006496521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14783985 + ... + 14784255.

It is an arithmetic number, because the mean of its divisors is an integer number (38265300).

Almost surely, 2^4006496520 is an apocalyptic number.

4006496520 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 4006496520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7346937600).

4006496520 is an abundant number, since it is smaller than the sum of its proper divisors (10687378680).

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

4006496520 is a wasteful number, since it uses less digits than its factorization.

4006496520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4006496520 is about 63296.8918668208. The cubic root of 4006496520 is about 1588.2599690284.

The spelling of 4006496520 in words is "four billion, six million, four hundred ninety-six thousand, five hundred twenty".