42678681696 has 432 divisors, whose sum is σ = 153168790320. Its totient is φ = 11194122240.

The previous prime is 42678681629. The next prime is 42678681743. The reversal of 42678681696 is 69618687624.

42678681696 is a `hidden beast` number, since 426 + 78 + 6 + 81 + 69 + 6 = 666.

It is a super-3 number, since 3×42678681696³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9833895 + ... + 9838233.

It is an arithmetic number, because the mean of its divisors is an integer number (354557385).

Almost surely, 2^42678681696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42678681696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76584395160).

42678681696 is an abundant number, since it is smaller than the sum of its proper divisors (110490108624).

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

42678681696 is a wasteful number, since it uses less digits than its factorization.

42678681696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4427 (or 4409 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 42678681696 in words is "forty-two billion, six hundred seventy-eight million, six hundred eighty-one thousand, six hundred ninety-six".