7403133067680 has 576 divisors, whose sum is σ = 27323791907328. Its totient is φ = 1679928606720.

The previous prime is 7403133067679. The next prime is 7403133067703. The reversal of 7403133067680 is 867603313047.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1936470249 + ... + 1936474071.

It is an arithmetic number, because the mean of its divisors is an integer number (47437138728).

Almost surely, 2^{7403133067680} is an apocalyptic number.

7403133067680 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 7403133067680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13661895953664).

7403133067680 is an abundant number, since it is smaller than the sum of its proper divisors (19920658839648).

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

7403133067680 is a wasteful number, since it uses less digits than its factorization.

7403133067680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 7403133067680 in words is "seven trillion, four hundred three billion, one hundred thirty-three million, sixty-seven thousand, six hundred eighty".