7560819648 has 168 divisors, whose sum is σ = 22593499136. Its totient is φ = 2414707200.

The previous prime is 7560819631. The next prime is 7560819653. The reversal of 7560819648 is 8469180657.

7560819648 is a `hidden beast` number, since 7 + 560 + 8 + 19 + 64 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7560819594 and 7560819603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1837113 + ... + 1841223.

Almost surely, 2^7560819648 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 7560819648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11296749568).

7560819648 is an abundant number, since it is smaller than the sum of its proper divisors (15032679488).

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

7560819648 is a wasteful number, since it uses less digits than its factorization.

7560819648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 7560819648 is about 86952.9737731839. The cubic root of 7560819648 is about 1962.7107127288.

The spelling of 7560819648 in words is "seven billion, five hundred sixty million, eight hundred nineteen thousand, six hundred forty-eight".