7740241488 has 360 divisors, whose sum is σ = 26149451328. Its totient is φ = 2129670144.

The previous prime is 7740241471. The next prime is 7740241511. The reversal of 7740241488 is 8841420477.

It is a super-2 number, since 2×7740241488² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29430445 + ... + 29430707.

Almost surely, 2^7740241488 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 7740241488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13074725664).

7740241488 is an abundant number, since it is smaller than the sum of its proper divisors (18409209840).

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

7740241488 is a wasteful number, since it uses less digits than its factorization.

7740241488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The square root of 7740241488 is about 87978.6422263949. The cubic root of 7740241488 is about 1978.1148509680.

The spelling of 7740241488 in words is "seven billion, seven hundred forty million, two hundred forty-one thousand, four hundred eighty-eight".