7834998672 has 160 divisors (see below), whose sum is σ = 23374992000. Its totient is φ = 2509678080.

The previous prime is 7834998637. The next prime is 7834998673. The reversal of 7834998672 is 2768994387.

7834998672 is a `hidden beast` number, since 7 + 83 + 499 + 8 + 67 + 2 = 666.

It is a super-2 number, since 2×7834998672² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7834998673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2867547 + ... + 2870277.

It is an arithmetic number, because the mean of its divisors is an integer number (146093700).

Almost surely, 2^7834998672 is an apocalyptic number.

7834998672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7834998672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11687496000).

7834998672 is an abundant number, since it is smaller than the sum of its proper divisors (15539993328).

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

7834998672 is a wasteful number, since it uses less digits than its factorization.

7834998672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 2994 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The square root of 7834998672 is about 88515.5278581109. The cubic root of 7834998672 is about 1986.1542582419.

The spelling of 7834998672 in words is "seven billion, eight hundred thirty-four million, nine hundred ninety-eight thousand, six hundred seventy-two".