7164493338240 has 1152 divisors, whose sum is σ = 29942879541120. Its totient is φ = 1637001031680.

The previous prime is 7164493338227. The next prime is 7164493338283. The reversal of 7164493338240 is 428333944617.

It is a happy number.

7164493338240 is a `hidden beast` number, since 7 + 1 + 6 + 4 + 493 + 33 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2613823270 + ... + 2613826010.

It is an arithmetic number, because the mean of its divisors is an integer number (25992082935).

Almost surely, 2^{7164493338240} is an apocalyptic number.

7164493338240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7164493338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14971439770560).

7164493338240 is an abundant number, since it is smaller than the sum of its proper divisors (22778386202880).

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

7164493338240 is an frugal number, since it uses more digits than its factorization.

7164493338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 7164493338240 in words is "seven trillion, one hundred sixty-four billion, four hundred ninety-three million, three hundred thirty-eight thousand, two hundred forty".