7049935872 has 352 divisors, whose sum is σ = 24236480000. Its totient is φ = 1982693376.

The previous prime is 7049935829. The next prime is 7049935877. The reversal of 7049935872 is 2785399407.

7049935872 is a `hidden beast` number, since 70 + 499 + 3 + 5 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7049935877) 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, 14127879 + ... + 14128377.

Almost surely, 2^7049935872 is an apocalyptic number.

7049935872 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 7049935872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12118240000).

7049935872 is an abundant number, since it is smaller than the sum of its proper divisors (17186544128).

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

7049935872 is a wasteful number, since it uses less digits than its factorization.

7049935872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 7049935872 is about 83963.8962411821. The cubic root of 7049935872 is about 1917.4691654640.

The spelling of 7049935872 in words is "seven billion, forty-nine million, nine hundred thirty-five thousand, eight hundred seventy-two".