7740968832 has 96 divisors (see below), whose sum is σ = 22994112960. Its totient is φ = 2497075200.

The previous prime is 7740968831. The next prime is 7740968909. The reversal of 7740968832 is 2388690477.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7740968831) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 72669 + ... + 144092.

It is an arithmetic number, because the mean of its divisors is an integer number (239522010).

Almost surely, 2^7740968832 is an apocalyptic number.

7740968832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7740968832 is an abundant number, since it is smaller than the sum of its proper divisors (15253144128).

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

7740968832 is a wasteful number, since it uses less digits than its factorization.

7740968832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216812 (or 216797 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 7740968832 is about 87982.7757688969. The cubic root of 7740968832 is about 1978.1768096251.

The spelling of 7740968832 in words is "seven billion, seven hundred forty million, nine hundred sixty-eight thousand, eight hundred thirty-two".