7264678642032 has 240 divisors, whose sum is σ = 22055203662336. Its totient is φ = 2018437478400.

The previous prime is 7264678642031. The next prime is 7264678642069. The reversal of 7264678642032 is 2302468764627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7264678642031) 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, 175637098 + ... + 175678454.

Almost surely, 2^{7264678642032} 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 7264678642032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11027601831168).

7264678642032 is an abundant number, since it is smaller than the sum of its proper divisors (14790525020304).

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

7264678642032 is a wasteful number, since it uses less digits than its factorization.

7264678642032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41768 (or 41721 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 57.

The spelling of 7264678642032 in words is "seven trillion, two hundred sixty-four billion, six hundred seventy-eight million, six hundred forty-two thousand, thirty-two".