42346039680 has 1024 divisors, whose sum is σ = 184998297600. Its totient is φ = 8941363200.

The previous prime is 42346039663. The next prime is 42346039691. The reversal of 42346039680 is 8693064324.

42346039680 is a `hidden beast` number, since 4 + 2 + 34 + 603 + 9 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86244235 + ... + 86244725.

It is an arithmetic number, because the mean of its divisors is an integer number (180662400).

Almost surely, 2^42346039680 is an apocalyptic number.

42346039680 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 42346039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92499148800).

42346039680 is an abundant number, since it is smaller than the sum of its proper divisors (142652257920).

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

42346039680 is a wasteful number, since it uses less digits than its factorization.

42346039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 42346039680 in words is "forty-two billion, three hundred forty-six million, thirty-nine thousand, six hundred eighty".