7393481905920 has 1152 divisors, whose sum is σ = 27979570741248. Its totient is φ = 1645210828800.

The previous prime is 7393481905903. The next prime is 7393481905991. The reversal of 7393481905920 is 295091843937.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 3824873274 + ... + 3824875206.

It is an arithmetic number, because the mean of its divisors is an integer number (24287821824).

Almost surely, 2^{7393481905920} 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 7393481905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13989785370624).

7393481905920 is an abundant number, since it is smaller than the sum of its proper divisors (20586088835328).

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

7393481905920 is a wasteful number, since it uses less digits than its factorization.

7393481905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 60.

The spelling of 7393481905920 in words is "seven trillion, three hundred ninety-three billion, four hundred eighty-one million, nine hundred five thousand, nine hundred twenty".