4007000160576 has 336 divisors, whose sum is σ = 13568677724160. Its totient is φ = 1106360570880.

The previous prime is 4007000160557. The next prime is 4007000160577. The reversal of 4007000160576 is 6750610007004.

4007000160576 is a `hidden beast` number, since 4 + 0 + 0 + 70 + 0 + 0 + 16 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 4007000160576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007000160577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89846955 + ... + 89891541.

Almost surely, 2^{4007000160576} 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 4007000160576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6784338862080).

4007000160576 is an abundant number, since it is smaller than the sum of its proper divisors (9561677563584).

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

4007000160576 is a wasteful number, since it uses less digits than its factorization.

4007000160576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45362 (or 45349 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 4007000160576 in words is "four trillion, seven billion, one hundred sixty thousand, five hundred seventy-six".