7740148416 has 896 divisors, whose sum is σ = 30674681856. Its totient is φ = 1654456320.

The previous prime is 7740148369. The next prime is 7740148441. The reversal of 7740148416 is 6148410477.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75147021 + ... + 75147123.

It is an arithmetic number, because the mean of its divisors is an integer number (34235136).

Almost surely, 2^7740148416 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 7740148416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337340928).

7740148416 is an abundant number, since it is smaller than the sum of its proper divisors (22934533440).

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

7740148416 is a wasteful number, since it uses less digits than its factorization.

7740148416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 7740148416 is about 87978.1132782467. The cubic root of 7740148416 is about 1978.1069223677.

The spelling of 7740148416 in words is "seven billion, seven hundred forty million, one hundred forty-eight thousand, four hundred sixteen".