4007642076 has 48 divisors (see below), whose sum is σ = 10459034880. Its totient is φ = 1327028400.

The previous prime is 4007642069. The next prime is 4007642137. The reversal of 4007642076 is 6702467004.

4007642076 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 642 + 0 + 7 + 6 = 666.

It is a super-3 number, since 3×4007642076³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4007642076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106566 + ... + 139181.

It is an arithmetic number, because the mean of its divisors is an integer number (217896560).

Almost surely, 2^4007642076 is an apocalyptic number.

It is an amenable number.

4007642076 is an abundant number, since it is smaller than the sum of its proper divisors (6451392804).

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

4007642076 is a wasteful number, since it uses less digits than its factorization.

4007642076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245911 (or 245903 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4007642076 is about 63305.9402899917. The cubic root of 4007642076 is about 1588.4113288135.

The spelling of 4007642076 in words is "four billion, seven million, six hundred forty-two thousand, seventy-six".