42468069965832 has 512 divisors, whose sum is σ = 144908531712000. Its totient is φ = 11388663161856.

The previous prime is 42468069965821. The next prime is 42468069965879. The reversal of 42468069965832 is 23856996086424.

42468069965832 is a `hidden beast` number, since 42 + 468 + 0 + 6 + 9 + 96 + 5 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 764075019 + ... + 764130597.

It is an arithmetic number, because the mean of its divisors is an integer number (283024476000).

Almost surely, 2^{42468069965832} is an apocalyptic number.

42468069965832 is a gapful number since it is divisible by the number (42) 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 42468069965832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72454265856000).

42468069965832 is an abundant number, since it is smaller than the sum of its proper divisors (102440461746168).

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

42468069965832 is a wasteful number, since it uses less digits than its factorization.

42468069965832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55997 (or 55975 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 42468069965832 in words is "forty-two trillion, four hundred sixty-eight billion, sixty-nine million, nine hundred sixty-five thousand, eight hundred thirty-two".