7429866912 has 288 divisors, whose sum is σ = 23970727872. Its totient is φ = 2249938944.

The previous prime is 7429866889. The next prime is 7429866919. The reversal of 7429866912 is 2196689247.

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

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

It is not an unprimeable number, because it can be changed into a prime (7429866919) 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, 6772348 + ... + 6773444.

It is an arithmetic number, because the mean of its divisors is an integer number (83231694).

Almost surely, 2^7429866912 is an apocalyptic number.

7429866912 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 7429866912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11985363936).

7429866912 is an abundant number, since it is smaller than the sum of its proper divisors (16540860960).

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

7429866912 is a wasteful number, since it uses less digits than its factorization.

7429866912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1182 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 7429866912 is about 86196.6757595674. The cubic root of 7429866912 is about 1951.3133306540.

The spelling of 7429866912 in words is "seven billion, four hundred twenty-nine million, eight hundred sixty-six thousand, nine hundred twelve".