760026210642 has 96 divisors (see below), whose sum is σ = 1742919399936. Its totient is φ = 238862131200.

The previous prime is 760026210583. The next prime is 760026210649. The reversal of 760026210642 is 246012620067.

760026210642 is a `hidden beast` number, since 7 + 6 + 0 + 0 + 2 + 6 + 2 + 1 + 0 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 760026210597 and 760026210606.

It is not an unprimeable number, because it can be changed into a prime (760026210649) 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 47 ways as a sum of consecutive naturals, for example, 56538642 + ... + 56552082.

It is an arithmetic number, because the mean of its divisors is an integer number (18155410416).

Almost surely, 2^760026210642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 760026210642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871459699968).

760026210642 is an abundant number, since it is smaller than the sum of its proper divisors (982893189294).

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

760026210642 is a wasteful number, since it uses less digits than its factorization.

760026210642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15416 (or 15413 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 760026210642 in words is "seven hundred sixty billion, twenty-six million, two hundred ten thousand, six hundred forty-two".