7742693376 has 168 divisors, whose sum is σ = 24402281904. Its totient is φ = 2346024960.

The previous prime is 7742693359. The next prime is 7742693377. The reversal of 7742693376 is 6733962477.

It is a happy number.

7742693376 is a `hidden beast` number, since 7 + 7 + 4 + 269 + 3 + 376 = 666.

It is not an unprimeable number, because it can be changed into a prime (7742693377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 806235 + ... + 815781.

It is an arithmetic number, because the mean of its divisors is an integer number (145251678).

Almost surely, 2^7742693376 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 7742693376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12201140952).

7742693376 is an abundant number, since it is smaller than the sum of its proper divisors (16659588528).

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

7742693376 is a wasteful number, since it uses less digits than its factorization.

7742693376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9590 (or 9563 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 54.

The square root of 7742693376 is about 87992.5756868158. The cubic root of 7742693376 is about 1978.3236990614.

The spelling of 7742693376 in words is "seven billion, seven hundred forty-two million, six hundred ninety-three thousand, three hundred seventy-six".