42768637632 has 1344 divisors, whose sum is σ = 170414899200. Its totient is φ = 10346434560.

The previous prime is 42768637607. The next prime is 42768637633. The reversal of 42768637632 is 23673686724.

42768637632 is a `hidden beast` number, since 427 + 68 + 63 + 76 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (42768637633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1379633457 + ... + 1379633487.

It is an arithmetic number, because the mean of its divisors is an integer number (126796800).

Almost surely, 2^42768637632 is an apocalyptic number.

42768637632 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 42768637632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85207449600).

42768637632 is an abundant number, since it is smaller than the sum of its proper divisors (127646261568).

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

42768637632 is a wasteful number, since it uses less digits than its factorization.

42768637632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 42768637632 in words is "forty-two billion, seven hundred sixty-eight million, six hundred thirty-seven thousand, six hundred thirty-two".