7893045648 has 100 divisors (see below), whose sum is σ = 22919390208. Its totient is φ = 2622421440.

The previous prime is 7893045637. The next prime is 7893045653. The reversal of 7893045648 is 8465403987.

7893045648 is a `hidden beast` number, since 78 + 9 + 3 + 0 + 4 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7893045594 and 7893045603.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 393265 + ... + 412847.

Almost surely, 2^7893045648 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 7893045648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11459695104).

7893045648 is an abundant number, since it is smaller than the sum of its proper divisors (15026344560).

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

7893045648 is a wasteful number, since it uses less digits than its factorization.

7893045648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19914 (or 19899 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 7893045648 is about 88842.8142732996. The cubic root of 7893045648 is about 1991.0471201049.

The spelling of 7893045648 in words is "seven billion, eight hundred ninety-three million, forty-five thousand, six hundred forty-eight".