7440779673600 has 1920 divisors, whose sum is σ = 31229297082480. Its totient is φ = 1553737973760.

The previous prime is 7440779673559. The next prime is 7440779673661. The reversal of 7440779673600 is 63769770447.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 76709068752 + ... + 76709068848.

Almost surely, 2^{7440779673600} is an apocalyptic number.

7440779673600 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 7440779673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15614648541240).

7440779673600 is an abundant number, since it is smaller than the sum of its proper divisors (23788517408880).

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

7440779673600 is an frugal number, since it uses more digits than its factorization.

7440779673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 60.

The spelling of 7440779673600 in words is "seven trillion, four hundred forty billion, seven hundred seventy-nine million, six hundred seventy-three thousand, six hundred".