42322664345760 has 960 divisors, whose sum is σ = 161878271385600. Its totient is φ = 10382647080960.

The previous prime is 42322664345743. The next prime is 42322664345761. The reversal of 42322664345760 is 6754346622324.

42322664345760 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 2 + 6 + 64 + 3 + 4 + 576 + 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 = 42322664345697 and 42322664345706.

It is not an unprimeable number, because it can be changed into a prime (42322664345761) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1506184191 + ... + 1506212289.

It is an arithmetic number, because the mean of its divisors is an integer number (168623199360).

Almost surely, 2^{42322664345760} is an apocalyptic number.

42322664345760 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 42322664345760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80939135692800).

42322664345760 is an abundant number, since it is smaller than the sum of its proper divisors (119555607039840).

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

42322664345760 is a wasteful number, since it uses less digits than its factorization.

42322664345760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28343 (or 28326 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 54.

The spelling of 42322664345760 in words is "forty-two trillion, three hundred twenty-two billion, six hundred sixty-four million, three hundred forty-five thousand, seven hundred sixty".