7442835348480 has 352 divisors, whose sum is σ = 27589435868160. Its totient is φ = 1677256949760.

The previous prime is 7442835348463. The next prime is 7442835348511. The reversal of 7442835348480 is 848435382447.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7146436 + ... + 8121404.

Almost surely, 2^{7442835348480} is an apocalyptic number.

7442835348480 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 7442835348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13794717934080).

7442835348480 is an abundant number, since it is smaller than the sum of its proper divisors (20146600519680).

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

7442835348480 is a wasteful number, since it uses less digits than its factorization.

7442835348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975075 (or 975057 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 60.

The spelling of 7442835348480 in words is "seven trillion, four hundred forty-two billion, eight hundred thirty-five million, three hundred forty-eight thousand, four hundred eighty".