6934992480 has 288 divisors, whose sum is σ = 25695581184. Its totient is φ = 1693052928.

The previous prime is 6934992469. The next prime is 6934992487. The reversal of 6934992480 is 842994396.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6934992487) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2375982 + ... + 2378898.

It is an arithmetic number, because the mean of its divisors is an integer number (89220768).

Almost surely, 2^6934992480 is an apocalyptic number.

6934992480 is a gapful number since it is divisible by the number (60) 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 6934992480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12847790592).

6934992480 is an abundant number, since it is smaller than the sum of its proper divisors (18760588704).

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

6934992480 is a wasteful number, since it uses less digits than its factorization.

6934992480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 6934992480 is about 83276.6022361623. The cubic root of 6934992480 is about 1906.9910940490.

The spelling of 6934992480 in words is "six billion, nine hundred thirty-four million, nine hundred ninety-two thousand, four hundred eighty".