7261816976640 has 288 divisors, whose sum is σ = 26087514768000. Its totient is φ = 1936483780608.

The previous prime is 7261816976627. The next prime is 7261816976657. The reversal of 7261816976640 is 466796181627.

It is a happy number.

7261816976640 is a `hidden beast` number, since 7 + 2 + 618 + 1 + 6 + 9 + 7 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1502311 + ... + 4096409.

It is an arithmetic number, because the mean of its divisors is an integer number (90581648500).

Almost surely, 2^{7261816976640} 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 7261816976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13043757384000).

7261816976640 is an abundant number, since it is smaller than the sum of its proper divisors (18825697791360).

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

7261816976640 is an frugal number, since it uses more digits than its factorization.

7261816976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594141 (or 2594109 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 7261816976640 in words is "seven trillion, two hundred sixty-one billion, eight hundred sixteen million, nine hundred seventy-six thousand, six hundred forty".