7738894560 has 288 divisors, whose sum is σ = 26545034880. Its totient is φ = 1889879040.

The previous prime is 7738894543. The next prime is 7738894577. The reversal of 7738894560 is 654988377.

It is an interprime number because it is at equal distance from previous prime (7738894543) and next prime (7738894577).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 7738894560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8763879 + ... + 8764761.

It is an arithmetic number, because the mean of its divisors is an integer number (92170260).

Almost surely, 2^7738894560 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 7738894560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13272517440).

7738894560 is an abundant number, since it is smaller than the sum of its proper divisors (18806140320).

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

7738894560 is a wasteful number, since it uses less digits than its factorization.

7738894560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The square root of 7738894560 is about 87970.9870354994. The cubic root of 7738894560 is about 1978.0001029184. Note that the first 3 decimals are identical.

The spelling of 7738894560 in words is "seven billion, seven hundred thirty-eight million, eight hundred ninety-four thousand, five hundred sixty".