7293491412480 has 2880 divisors, whose sum is σ = 32896065945600. Its totient is φ = 1491224297472.

The previous prime is 7293491412479. The next prime is 7293491412533. The reversal of 7293491412480 is 842141943927.

7293491412480 is a `hidden beast` number, since 7 + 2 + 9 + 34 + 91 + 41 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 57429066177 + ... + 57429066303.

It is an arithmetic number, because the mean of its divisors is an integer number (11422245120).

Almost surely, 2^{7293491412480} is an apocalyptic number.

7293491412480 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 7293491412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16448032972800).

7293491412480 is an abundant number, since it is smaller than the sum of its proper divisors (25602574533120).

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

7293491412480 is a wasteful number, since it uses less digits than its factorization.

7293491412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 7293491412480 in words is "seven trillion, two hundred ninety-three billion, four hundred ninety-one million, four hundred twelve thousand, four hundred eighty".