656674385472 has 448 divisors, whose sum is σ = 2238661877760. Its totient is φ = 184880406528.

The previous prime is 656674385443. The next prime is 656674385473. The reversal of 656674385472 is 274583476656.

It is a happy number.

656674385472 is a `hidden beast` number, since 6 + 5 + 66 + 74 + 38 + 5 + 472 = 666.

656674385472 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (656674385473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 595352473 + ... + 595353575.

It is an arithmetic number, because the mean of its divisors is an integer number (4997013120).

Almost surely, 2^656674385472 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 656674385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119330938880).

656674385472 is an abundant number, since it is smaller than the sum of its proper divisors (1581987492288).

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

656674385472 is a wasteful number, since it uses less digits than its factorization.

656674385472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1791 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 63.

The spelling of 656674385472 in words is "six hundred fifty-six billion, six hundred seventy-four million, three hundred eighty-five thousand, four hundred seventy-two".