7835448540 has 96 divisors (see below), whose sum is σ = 22254059520. Its totient is φ = 2059646976.

The previous prime is 7835448539. The next prime is 7835448553. The reversal of 7835448540 is 458445387.

It is a super-2 number, since 2×7835448540² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7835448540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1528101 + ... + 1533219.

It is an arithmetic number, because the mean of its divisors is an integer number (231813120).

Almost surely, 2^7835448540 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 7835448540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11127029760).

7835448540 is an abundant number, since it is smaller than the sum of its proper divisors (14418610980).

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

7835448540 is a wasteful number, since it uses less digits than its factorization.

7835448540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5491 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The square root of 7835448540 is about 88518.0690028878. The cubic root of 7835448540 is about 1986.1922710177.

The spelling of 7835448540 in words is "seven billion, eight hundred thirty-five million, four hundred forty-eight thousand, five hundred forty".