42696267264 has 640 divisors, whose sum is σ = 153026396160. Its totient is φ = 11496038400.

The previous prime is 42696267239. The next prime is 42696267277. The reversal of 42696267264 is 46276269624.

42696267264 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 626 + 7 + 2 + 6 + 4 = 666.

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 a self number, because there is not a number n which added to its sum of digits gives 42696267264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128991579 + ... + 128991909.

It is an arithmetic number, because the mean of its divisors is an integer number (239103744).

Almost surely, 2^42696267264 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 42696267264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76513198080).

42696267264 is an abundant number, since it is smaller than the sum of its proper divisors (110330128896).

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

42696267264 is a wasteful number, since it uses less digits than its factorization.

42696267264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 417 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 42696267264 in words is "forty-two billion, six hundred ninety-six million, two hundred sixty-seven thousand, two hundred sixty-four".