7853560040 has 96 divisors (see below), whose sum is σ = 18881880840. Its totient is φ = 2929704960.

The previous prime is 7853560037. The next prime is 7853560049. The reversal of 7853560040 is 400653587.

It can be written as a sum of positive squares in 4 ways, for example, as 6639316324 + 1214243716 = 81482^2 + 34846^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7853559976 and 7853560003.

It is not an unprimeable number, because it can be changed into a prime (7853560049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11669144 + ... + 11669816.

Almost surely, 2^7853560040 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 7853560040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9440940420).

7853560040 is an abundant number, since it is smaller than the sum of its proper divisors (11028320800).

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

7853560040 is a wasteful number, since it uses less digits than its factorization.

7853560040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 7853560040 is about 88620.3139240660. The cubic root of 7853560040 is about 1987.7214427789.

The spelling of 7853560040 in words is "seven billion, eight hundred fifty-three million, five hundred sixty thousand, forty".