7740342720 has 448 divisors, whose sum is σ = 31092526080. Its totient is φ = 1794355200.

The previous prime is 7740342719. The next prime is 7740342733. The reversal of 7740342720 is 272430477.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2184150 + ... + 2187690.

It is an arithmetic number, because the mean of its divisors is an integer number (69402960).

Almost surely, 2^7740342720 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 7740342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15546263040).

7740342720 is an abundant number, since it is smaller than the sum of its proper divisors (23352183360).

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

7740342720 is a wasteful number, since it uses less digits than its factorization.

7740342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 7740342720 is about 87979.2175459637. The cubic root of 7740342720 is about 1978.1234746288.

The spelling of 7740342720 in words is "seven billion, seven hundred forty million, three hundred forty-two thousand, seven hundred twenty".