42354701664 has 192 divisors, whose sum is σ = 129651798528. Its totient is φ = 11977011200.

The previous prime is 42354701657. The next prime is 42354701693. The reversal of 42354701664 is 46610745324.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 974542 + ... + 1017074.

It is an arithmetic number, because the mean of its divisors is an integer number (675269784).

Almost surely, 2^42354701664 is an apocalyptic number.

42354701664 is a gapful number since it is divisible by the number (44) 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 42354701664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64825899264).

42354701664 is an abundant number, since it is smaller than the sum of its proper divisors (87297096864).

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

42354701664 is a wasteful number, since it uses less digits than its factorization.

42354701664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42621 (or 42613 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 42354701664 in words is "forty-two billion, three hundred fifty-four million, seven hundred one thousand, six hundred sixty-four".