7468294164480 has 1872 divisors, whose sum is σ = 29750770932480. Its totient is φ = 1726891425792.

The previous prime is 7468294164437. The next prime is 7468294164491. The reversal of 7468294164480 is 844614928647.

7468294164480 is a `hidden beast` number, since 7 + 4 + 6 + 8 + 2 + 94 + 1 + 64 + 480 = 666.

It is a congruent number.

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, 47568752562 + ... + 47568752718.

It is an arithmetic number, because the mean of its divisors is an integer number (15892505840).

Almost surely, 2^{7468294164480} 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 7468294164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14875385466240).

7468294164480 is an abundant number, since it is smaller than the sum of its proper divisors (22282476768000).

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

7468294164480 is a wasteful number, since it uses less digits than its factorization.

7468294164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 7468294164480 in words is "seven trillion, four hundred sixty-eight billion, two hundred ninety-four million, one hundred sixty-four thousand, four hundred eighty".