42567953760 has 192 divisors, whose sum is σ = 157752100800. Its totient is φ = 10683703296.

The previous prime is 42567953741. The next prime is 42567953773. The reversal of 42567953760 is 6735976524.

42567953760 is a `hidden beast` number, since 4 + 2 + 567 + 9 + 5 + 3 + 76 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42567953697 and 42567953706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216375 + ... + 363254.

It is an arithmetic number, because the mean of its divisors is an integer number (821625525).

Almost surely, 2^42567953760 is an apocalyptic number.

42567953760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42567953760 is an abundant number, since it is smaller than the sum of its proper divisors (115184147040).

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

42567953760 is a wasteful number, since it uses less digits than its factorization.

42567953760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579670 (or 579656 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 42567953760 in words is "forty-two billion, five hundred sixty-seven million, nine hundred fifty-three thousand, seven hundred sixty".