7468868090320 has 480 divisors, whose sum is σ = 22501925784576. Its totient is φ = 2244250644480.

The previous prime is 7468868090309. The next prime is 7468868090389. The reversal of 7468868090320 is 230908688647.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 370782169 + ... + 370802311.

Almost surely, 2^{7468868090320} is an apocalyptic number.

7468868090320 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 7468868090320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11250962892288).

7468868090320 is an abundant number, since it is smaller than the sum of its proper divisors (15033057694256).

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

7468868090320 is a wasteful number, since it uses less digits than its factorization.

7468868090320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20291 (or 20254 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 61.

The spelling of 7468868090320 in words is "seven trillion, four hundred sixty-eight billion, eight hundred sixty-eight million, ninety thousand, three hundred twenty".