4007690496 has 108 divisors (see below), whose sum is σ = 11953812780. Its totient is φ = 1289809920.

The previous prime is 4007690473. The next prime is 4007690503. The reversal of 4007690496 is 6940967004.

4007690496 is a `hidden beast` number, since 4 + 0 + 0 + 76 + 90 + 496 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1320304896 + 2687385600 = 36336^2 + 51840^2 .

It is a super-2 number, since 2×4007690496² = 32123166223457452032, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36826 + ... + 96806.

Almost surely, 2^4007690496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4007690496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976906390).

4007690496 is an abundant number, since it is smaller than the sum of its proper divisors (7946122284).

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

4007690496 is a wasteful number, since it uses less digits than its factorization.

4007690496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60032 (or 60015 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 4007690496 is about 63306.3227174032. The cubic root of 4007690496 is about 1588.4177258059.

The spelling of 4007690496 in words is "four billion, seven million, six hundred ninety thousand, four hundred ninety-six".