42473710656 has 672 divisors, whose sum is σ = 147382260480. Its totient is φ = 11561730048.

The previous prime is 42473710649. The next prime is 42473710663. The reversal of 42473710656 is 65601737424.

42473710656 is a `hidden beast` number, since 424 + 73 + 7 + 106 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (42473710649) and next prime (42473710663).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260574831 + ... + 260574993.

It is an arithmetic number, because the mean of its divisors is an integer number (219318840).

Almost surely, 2^42473710656 is an apocalyptic number.

42473710656 is a gapful number since it is divisible by the number (46) 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 42473710656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73691130240).

42473710656 is an abundant number, since it is smaller than the sum of its proper divisors (104908549824).

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

42473710656 is a wasteful number, since it uses less digits than its factorization.

42473710656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 42473710656 in words is "forty-two billion, four hundred seventy-three million, seven hundred ten thousand, six hundred fifty-six".