42574726656 has 1280 divisors, whose sum is σ = 171966136320. Its totient is φ = 10072719360.

The previous prime is 42574726651. The next prime is 42574726669. The reversal of 42574726656 is 65662747524.

42574726656 is a `hidden beast` number, since 4 + 2 + 574 + 7 + 2 + 6 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42574726651) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 905845225 + ... + 905845271.

It is an arithmetic number, because the mean of its divisors is an integer number (134348544).

Almost surely, 2^42574726656 is an apocalyptic number.

42574726656 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 42574726656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85983068160).

42574726656 is an abundant number, since it is smaller than the sum of its proper divisors (129391409664).

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

42574726656 is a wasteful number, since it uses less digits than its factorization.

42574726656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 42574726656 in words is "forty-two billion, five hundred seventy-four million, seven hundred twenty-six thousand, six hundred fifty-six".