7458368740020 has 480 divisors, whose sum is σ = 26659911801600. Its totient is φ = 1727790704640.

The previous prime is 7458368740007. The next prime is 7458368740051. The reversal of 7458368740020 is 200478638547.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 447968656 + ... + 447985304.

It is an arithmetic number, because the mean of its divisors is an integer number (55541482920).

Almost surely, 2^{7458368740020} 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 7458368740020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13329955900800).

7458368740020 is an abundant number, since it is smaller than the sum of its proper divisors (19201543061580).

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

7458368740020 is a wasteful number, since it uses less digits than its factorization.

7458368740020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17797 (or 17786 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 7458368740020 in words is "seven trillion, four hundred fifty-eight billion, three hundred sixty-eight million, seven hundred forty thousand, twenty".