42627559726080 has 528 divisors, whose sum is σ = 168847392789504. Its totient is φ = 9740930088960.

The previous prime is 42627559726057. The next prime is 42627559726123. The reversal of 42627559726080 is 8062795572624.

42627559726080 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 7 + 559 + 72 + 6 + 0 + 8 + 0 = 666.

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 = 42627559725999 and 42627559726017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1439570475 + ... + 1439600085.

It is an arithmetic number, because the mean of its divisors is an integer number (319786728768).

Almost surely, 2^{42627559726080} is an apocalyptic number.

42627559726080 is a gapful number since it is divisible by the number (40) 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 42627559726080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84423696394752).

42627559726080 is an abundant number, since it is smaller than the sum of its proper divisors (126219833063424).

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

42627559726080 is a wasteful number, since it uses less digits than its factorization.

42627559726080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34112 (or 34091 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 42627559726080 in words is "forty-two trillion, six hundred twenty-seven billion, five hundred fifty-nine million, seven hundred twenty-six thousand, eighty".