4376970464256 has 264 divisors, whose sum is σ = 13750944296544. Its totient is φ = 1332872478720.

The previous prime is 4376970464227. The next prime is 4376970464267. The reversal of 4376970464256 is 6524640796734.

4376970464256 is a `hidden beast` number, since 4 + 37 + 6 + 97 + 0 + 464 + 2 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4376970464193 and 4376970464202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11433061 + ... + 11809691.

Almost surely, 2^{4376970464256} 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 4376970464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6875472148272).

4376970464256 is an abundant number, since it is smaller than the sum of its proper divisors (9373973832288).

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

4376970464256 is a wasteful number, since it uses less digits than its factorization.

4376970464256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376767 (or 376746 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 4376970464256 in words is "four trillion, three hundred seventy-six billion, nine hundred seventy million, four hundred sixty-four thousand, two hundred fifty-six".