42796615680 has 1296 divisors, whose sum is σ = 192951109260. Its totient is φ = 9029615616.

The previous prime is 42796615679. The next prime is 42796615681. The reversal of 42796615680 is 8651669724.

42796615680 is a `hidden beast` number, since 4 + 2 + 79 + 6 + 6 + 1 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42796615679) and next prime (42796615681).

It can be written as a sum of positive squares in 2 ways, for example, as 39833773056 + 2962842624 = 199584^2 + 54432^2 .

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is not an unprimeable number, because it can be changed into a prime (42796615681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3292047354 + ... + 3292047366.

Almost surely, 2^42796615680 is an apocalyptic number.

42796615680 is a gapful number since it is divisible by the number (40) 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 42796615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96475554630).

42796615680 is an abundant number, since it is smaller than the sum of its proper divisors (150154493580).

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

42796615680 is an frugal number, since it uses more digits than its factorization.

42796615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 42796615680 in words is "forty-two billion, seven hundred ninety-six million, six hundred fifteen thousand, six hundred eighty".