7742790432 has 192 divisors, whose sum is σ = 24470208000. Its totient is φ = 2381812992.

The previous prime is 7742790431. The next prime is 7742790439. The reversal of 7742790432 is 2340972477.

It is not an unprimeable number, because it can be changed into a prime (7742790431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1896169 + ... + 1900247.

It is an arithmetic number, because the mean of its divisors is an integer number (127449000).

Almost surely, 2^7742790432 is an apocalyptic number.

7742790432 is a gapful number since it is divisible by the number (72) 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 7742790432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12235104000).

7742790432 is an abundant number, since it is smaller than the sum of its proper divisors (16727417568).

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

7742790432 is a wasteful number, since it uses less digits than its factorization.

7742790432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4137 (or 4097 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 7742790432 is about 87993.1271861615. The cubic root of 7742790432 is about 1978.3319652367.

The spelling of 7742790432 in words is "seven billion, seven hundred forty-two million, seven hundred ninety thousand, four hundred thirty-two".