42736087296 has 864 divisors, whose sum is σ = 161993115648. Its totient is φ = 10948608000.

The previous prime is 42736087223. The next prime is 42736087309. The reversal of 42736087296 is 69278063724.

42736087296 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 608 + 7 + 29 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170263171 + ... + 170263421.

It is an arithmetic number, because the mean of its divisors is an integer number (187492032).

Almost surely, 2^42736087296 is an apocalyptic number.

42736087296 is a gapful number since it is divisible by the number (46) 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 42736087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80996557824).

42736087296 is an abundant number, since it is smaller than the sum of its proper divisors (119257028352).

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

42736087296 is a wasteful number, since it uses less digits than its factorization.

42736087296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 42736087296 in words is "forty-two billion, seven hundred thirty-six million, eighty-seven thousand, two hundred ninety-six".