7121406264 has 128 divisors (see below), whose sum is σ = 21503577600. Its totient is φ = 1919877120.

The previous prime is 7121406251. The next prime is 7121406269. The reversal of 7121406264 is 4626041217.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7121406269) 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, 816004 + ... + 824684.

It is an arithmetic number, because the mean of its divisors is an integer number (167996700).

Almost surely, 2^7121406264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7121406264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10751788800).

7121406264 is an abundant number, since it is smaller than the sum of its proper divisors (14382171336).

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

7121406264 is a wasteful number, since it uses less digits than its factorization.

7121406264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8973 (or 8969 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 7121406264 is about 84388.4249408650. The cubic root of 7121406264 is about 1923.9269908312.

The spelling of 7121406264 in words is "seven billion, one hundred twenty-one million, four hundred six thousand, two hundred sixty-four".