7376938560 has 336 divisors, whose sum is σ = 26703406080. Its totient is φ = 1866608640.

The previous prime is 7376938549. The next prime is 7376938567. The reversal of 7376938560 is 658396737.

7376938560 is a `hidden beast` number, since 7 + 3 + 76 + 9 + 3 + 8 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7376938497 and 7376938506.

It is not an unprimeable number, because it can be changed into a prime (7376938567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4731061 + ... + 4732619.

Almost surely, 2^7376938560 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 7376938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13351703040).

7376938560 is an abundant number, since it is smaller than the sum of its proper divisors (19326467520).

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

7376938560 is a wasteful number, since it uses less digits than its factorization.

7376938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 7376938560 is about 85889.1061776754. The cubic root of 7376938560 is about 1946.6687423092.

The spelling of 7376938560 in words is "seven billion, three hundred seventy-six million, nine hundred thirty-eight thousand, five hundred sixty".