7834520544 has 96 divisors (see below), whose sum is σ = 21550281984. Its totient is φ = 2487429120.

The previous prime is 7834520537. The next prime is 7834520597. The reversal of 7834520544 is 4450254387.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7834520544² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7834520496 and 7834520505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524767 + ... + 539489.

It is an arithmetic number, because the mean of its divisors is an integer number (224482104).

Almost surely, 2^7834520544 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 7834520544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10775140992).

7834520544 is an abundant number, since it is smaller than the sum of its proper divisors (13715761440).

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

7834520544 is a wasteful number, since it uses less digits than its factorization.

7834520544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15000 (or 14992 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The square root of 7834520544 is about 88512.8270026441. The cubic root of 7834520544 is about 1986.1138559683.

It can be divided in two parts, 78345 and 20544, that added together give a palindrome (98889).

The spelling of 7834520544 in words is "seven billion, eight hundred thirty-four million, five hundred twenty thousand, five hundred forty-four".