42672353353560 has 384 divisors, whose sum is σ = 162101983380480. Its totient is φ = 9533254708224.

The previous prime is 42672353353547. The next prime is 42672353353561. The reversal of 42672353353560 is 6535335327624.

42672353353560 is a `hidden beast` number, since 4 + 2 + 6 + 7 + 2 + 3 + 533 + 53 + 56 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42672353353497 and 42672353353506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42672353353561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34518867 + ... + 35733693.

It is an arithmetic number, because the mean of its divisors is an integer number (422140581720).

Almost surely, 2^{42672353353560} is an apocalyptic number.

42672353353560 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 42672353353560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81050991690240).

42672353353560 is an abundant number, since it is smaller than the sum of its proper divisors (119429630026920).

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

42672353353560 is a wasteful number, since it uses less digits than its factorization.

42672353353560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215167 (or 1215160 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 54.

The spelling of 42672353353560 in words is "forty-two trillion, six hundred seventy-two billion, three hundred fifty-three million, three hundred fifty-three thousand, five hundred sixty".