4056670759680 has 864 divisors, whose sum is σ = 17795825349120. Its totient is φ = 828646686720.

The previous prime is 4056670759613. The next prime is 4056670759747. The reversal of 4056670759680 is 869570766504.

4056670759680 is a `hidden beast` number, since 4 + 0 + 566 + 7 + 0 + 7 + 5 + 9 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4056670759613) and next prime (4056670759747).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 52296604 + ... + 52374116.

It is an arithmetic number, because the mean of its divisors is an integer number (20597020080).

Almost surely, 2^{4056670759680} is an apocalyptic number.

4056670759680 is a gapful number since it is divisible by the number (40) 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 4056670759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8897912674560).

4056670759680 is an abundant number, since it is smaller than the sum of its proper divisors (13739154589440).

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

4056670759680 is a wasteful number, since it uses less digits than its factorization.

4056670759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77617 (or 77600 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 4056670759680 in words is "four trillion, fifty-six billion, six hundred seventy million, seven hundred fifty-nine thousand, six hundred eighty".