4005870346764 has 144 divisors (see below), whose sum is σ = 11901489503904. Its totient is φ = 1120026931200.

The previous prime is 4005870346747. The next prime is 4005870346787. The reversal of 4005870346764 is 4676430785004.

4005870346764 is a `hidden beast` number, since 4 + 0 + 0 + 58 + 70 + 3 + 467 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4005870346764.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11530234 + ... + 11872574.

It is an arithmetic number, because the mean of its divisors is an integer number (82649232666).

Almost surely, 2^{4005870346764} is an apocalyptic number.

4005870346764 is a gapful number since it is divisible by the number (44) 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 4005870346764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950744751952).

4005870346764 is an abundant number, since it is smaller than the sum of its proper divisors (7895619157140).

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

4005870346764 is a wasteful number, since it uses less digits than its factorization.

4005870346764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344648 (or 344643 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 4005870346764 in words is "four trillion, five billion, eight hundred seventy million, three hundred forty-six thousand, seven hundred sixty-four".