742821281864256 has 224 divisors, whose sum is σ = 2371066447656960. Its totient is φ = 200494817132544.

The previous prime is 742821281864251. The next prime is 742821281864287. The reversal of 742821281864256 is 652468182128247.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (742821281864251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32188596 + ... + 50217011.

Almost surely, 2^{742821281864256} is an apocalyptic number.

742821281864256 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

742821281864256 is an abundant number, since it is smaller than the sum of its proper divisors (1628245165792704).

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

742821281864256 is a wasteful number, since it uses less digits than its factorization.

742821281864256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82406001 (or 82405991 counting only the distinct ones).

The product of its digits is 165150720, while the sum is 66.

The spelling of 742821281864256 in words is "seven hundred forty-two trillion, eight hundred twenty-one billion, two hundred eighty-one million, eight hundred sixty-four thousand, two hundred fifty-six".