656570381040 has 640 divisors, whose sum is σ = 2758314885120. Its totient is φ = 140126257152.

The previous prime is 656570381029. The next prime is 656570381059. The reversal of 656570381040 is 40183075656.

656570381040 is a `hidden beast` number, since 6 + 5 + 6 + 570 + 38 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32634024 + ... + 32654136.

It is an arithmetic number, because the mean of its divisors is an integer number (4309867008).

Almost surely, 2^656570381040 is an apocalyptic number.

656570381040 is a gapful number since it is divisible by the number (60) 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 656570381040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379157442560).

656570381040 is an abundant number, since it is smaller than the sum of its proper divisors (2101744504080).

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

656570381040 is a wasteful number, since it uses less digits than its factorization.

656570381040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20286 (or 20274 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 656570381040 in words is "six hundred fifty-six billion, five hundred seventy million, three hundred eighty-one thousand, forty".