6974787456 has 192 divisors, whose sum is σ = 24702743520. Its totient is φ = 1839476736.

The previous prime is 6974787431. The next prime is 6974787461. The reversal of 6974787456 is 6547874796.

6974787456 is a `hidden beast` number, since 6 + 97 + 478 + 74 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 6974787393 and 6974787402.

It is a congruent number.

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, 71566 + ... + 138098.

Almost surely, 2^6974787456 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 6974787456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12351371760).

6974787456 is an abundant number, since it is smaller than the sum of its proper divisors (17727956064).

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

6974787456 is a wasteful number, since it uses less digits than its factorization.

6974787456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66573 (or 66558 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The square root of 6974787456 is about 83515.1929651126. The cubic root of 6974787456 is about 1910.6317598008.

It can be divided in two parts, 6974 and 787456, that added together give a triangular number (794430 = T₁₂₆₀).

The spelling of 6974787456 in words is "six billion, nine hundred seventy-four million, seven hundred eighty-seven thousand, four hundred fifty-six".