7206464881440 has 1728 divisors, whose sum is σ = 29067342490368. Its totient is φ = 1672897536000.

The previous prime is 7206464881391. The next prime is 7206464881463. The reversal of 7206464881440 is 441884646027.

7206464881440 is a `hidden beast` number, since 7 + 2 + 0 + 64 + 64 + 8 + 81 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 43152484237 + ... + 43152484403.

It is an arithmetic number, because the mean of its divisors is an integer number (16821378756).

Almost surely, 2^{7206464881440} 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 7206464881440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14533671245184).

7206464881440 is an abundant number, since it is smaller than the sum of its proper divisors (21860877608928).

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

7206464881440 is a wasteful number, since it uses less digits than its factorization.

7206464881440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 7206464881440 in words is "seven trillion, two hundred six billion, four hundred sixty-four million, eight hundred eighty-one thousand, four hundred forty".