4007976072 has 16 divisors (see below), whose sum is σ = 10019940240. Its totient is φ = 1335992016.

The previous prime is 4007976053. The next prime is 4007976073. The reversal of 4007976072 is 2706797004.

It is not an unprimeable number, because it can be changed into a prime (4007976073) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 83499478 + ... + 83499525.

It is an arithmetic number, because the mean of its divisors is an integer number (626246265).

Almost surely, 2^4007976072 is an apocalyptic number.

It is an amenable number.

4007976072 is an abundant number, since it is smaller than the sum of its proper divisors (6011964168).

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

4007976072 is a wasteful number, since it uses less digits than its factorization.

4007976072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166999012 (or 166999008 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 4007976072 is about 63308.5781865301. The cubic root of 4007976072 is about 1588.4554535368.

The spelling of 4007976072 in words is "four billion, seven million, nine hundred seventy-six thousand, seventy-two".