7842709504 has 90 divisors (see below), whose sum is σ = 18247614630. Its totient is φ = 3360817152.

The previous prime is 7842709493. The next prime is 7842709507. The reversal of 7842709504 is 4059072487.

It can be written as a sum of positive squares in only one way, i.e., 6217007104 + 1625702400 = 78848^2 + 40320^2 .

It is not an unprimeable number, because it can be changed into a prime (7842709507) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 797932 + ... + 807700.

Almost surely, 2^7842709504 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 7842709504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9123807315).

7842709504 is an abundant number, since it is smaller than the sum of its proper divisors (10404905126).

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

7842709504 is an frugal number, since it uses more digits than its factorization.

7842709504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9811 (or 9778 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The square root of 7842709504 is about 88559.0735272225. The cubic root of 7842709504 is about 1986.8056040443.

The spelling of 7842709504 in words is "seven billion, eight hundred forty-two million, seven hundred nine thousand, five hundred four".