7833414960 has 160 divisors (see below), whose sum is σ = 30836359680. Its totient is φ = 1790491392.

The previous prime is 7833414949. The next prime is 7833414961. The reversal of 7833414960 is 694143387.

It is a super-2 number, since 2×7833414960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7833414961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243922 + ... + 274161.

It is an arithmetic number, because the mean of its divisors is an integer number (192727248).

Almost surely, 2^7833414960 is an apocalyptic number.

7833414960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7833414960 is an abundant number, since it is smaller than the sum of its proper divisors (23002944720).

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

7833414960 is a wasteful number, since it uses less digits than its factorization.

7833414960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518112 (or 518100 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7833414960 is about 88506.5814501950. The cubic root of 7833414960 is about 1986.0204267667.

The spelling of 7833414960 in words is "seven billion, eight hundred thirty-three million, four hundred fourteen thousand, nine hundred sixty".