7738862916096 has 320 divisors, whose sum is σ = 24750226300800. Its totient is φ = 2373415354368.

The previous prime is 7738862916053. The next prime is 7738862916121. The reversal of 7738862916096 is 6906192688377.

7738862916096 is a `hidden beast` number, since 7 + 7 + 3 + 8 + 8 + 6 + 2 + 9 + 1 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55101450 + ... + 55241718.

It is an arithmetic number, because the mean of its divisors is an integer number (77344457190).

Almost surely, 2^{7738862916096} 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 7738862916096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12375113150400).

7738862916096 is an abundant number, since it is smaller than the sum of its proper divisors (17011363384704).

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

7738862916096 is a wasteful number, since it uses less digits than its factorization.

7738862916096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140616 (or 140594 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 7738862916096 in words is "seven trillion, seven hundred thirty-eight billion, eight hundred sixty-two million, nine hundred sixteen thousand, ninety-six".