7834398864 has 160 divisors (see below), whose sum is σ = 22213149696. Its totient is φ = 2368634880.

The previous prime is 7834398853. The next prime is 7834398899. The reversal of 7834398864 is 4688934387.

It is a super-2 number, since 2×7834398864² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7834398798 and 7834398807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8018344 + ... + 8019320.

Almost surely, 2^7834398864 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 7834398864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11106574848).

7834398864 is an abundant number, since it is smaller than the sum of its proper divisors (14378750832).

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

7834398864 is a wasteful number, since it uses less digits than its factorization.

7834398864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1347 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 60.

The square root of 7834398864 is about 88512.1396419723. The cubic root of 7834398864 is about 1986.1035736294.

The spelling of 7834398864 in words is "seven billion, eight hundred thirty-four million, three hundred ninety-eight thousand, eight hundred sixty-four".