761281024896 has 768 divisors, whose sum is σ = 2693379686400. Its totient is φ = 201726443520.

The previous prime is 761281024891. The next prime is 761281024913. The reversal of 761281024896 is 698420182167.

It is a happy number.

761281024896 is a `hidden beast` number, since 7 + 612 + 8 + 10 + 2 + 4 + 8 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761281024891) 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 95 ways as a sum of consecutive naturals, for example, 1254169425 + ... + 1254170031.

It is an arithmetic number, because the mean of its divisors is an integer number (3507004800).

Almost surely, 2^761281024896 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 761281024896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346689843200).

761281024896 is an abundant number, since it is smaller than the sum of its proper divisors (1932098661504).

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

761281024896 is a wasteful number, since it uses less digits than its factorization.

761281024896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 761281024896 in words is "seven hundred sixty-one billion, two hundred eighty-one million, twenty-four thousand, eight hundred ninety-six".